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 Pradip_Roul

          PRADIP ROUL                                                                                      

                                                               Welcome to my Homepage!


Dr. rer. nat. Pradip Roul (PhD from Otto von Guericke University, Magdeburg, Germany)

Assistant Professor                                                                                          

Department of Mathematics

Visvesvaraya National Institute of Technology, Nagpur  

South Ambazari Road      

Maharashtra-440010

India                 

                                                                                                                                                                     

E-mail Address: drpkroul@mth.vnit.ac.in

                            pradipvnit@yahoo.com

Phone (office):   ++91-7122801408     Fax:  ++91-7122223969

Webpage: https://mth.vnit.ac.in/people/proul/

Google Scholar: https://scholar.google.co.in/citations?user=PG9JDfsAAAAJ&hl=en

ORCID ID: 0000-0001-7929-3069

Scopus Author ID: 36449269400

Scopus Profile:  https://www.scopus.com/authid/detail.uri?authorId=36449269400


Biography:

Dr. Pradip Roul is an Assistant Professor in the Department of Mathematics, at VNIT, Nagpur. He has finished his graduation in Science with Mathematics honours from Utkal university and postgraduation in Mathematics with specialization in Numerical Analysis from Ravenshaw University.  He has hold a first-class first position in M.Sc in Ravenshaw University. Dr. Roul received his Ph.D degree in Mathematics from Otto von Guericke University, Germany in 2009. After finishing his doctoral studies, Dr. Roul joined the applied Numerical mathematics group at the University of Duisburg-Essen, Germany in June, 2009 as a postdoctoral researcher. He had been involved in both research and teaching activities there. Dr. Roul afterwards moved to the Institute of Applied Numerical mathematics, Potsdam University, Germany for another postdoctoral work. Prior to joining the VNIT, Nagpur, Dr. Roul was employed as a postdoctoral research fellow at the Institute of Mathematics, University of Paul Sabatier, France. He has 87 publications in international peer reviewed journals (SCI/SCIE indexed)  and contributed in book chapter. He has graduated 5 PhD and 21 M.Sc students.  His work has been sponsred by the external funding agencies DST-SERB, NBHM, BRNS, CSIR and DST (MATRICS). Dr. Roul has completed sucessfully five R and D projects, as principal inverstigator (PI) and is curently handling one more sponsered research project funded by NBHM, DAE. Dr. Roul joined as an editor for Mathematical Methods in the Applied Sciences, USA, Wiley and also serves as reviewer for many international scientific journals.

                                                                                                                                                 Work is Worship..!!

 


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Education:

B.Sc: Mathematics (Hons.), Utkal University, India               

M.Sc.: Mathematics, Utkal University, India               

Ph.D.: Applied Mathematics, Otto von Guericke University, Magdeburg, Germany

 

Professional Experience including Postdoctoral:

1. Postdoc: Duisburg-Essen University, Duisburg, Germany, 2009-2010

2. Postdoc: Potsdam University, Potsdam, Germany, 2010-2011

3. Postdoc: Paul Sabatier University, Toulouse, France, 01.01.2012-12.08.2012

4. Asst. Professor: VNIT, Nagpur, India, Since 13.08.2012.

 

Research interests :

My research interests lie in the field of Numerical analysis, scientific computing, computational finance, singular boundary value problems,  Discrete element method (DEM) simulation for granular solid flows and fractional differential equations arising in Nuclear reactor dynamics. More specifically, my research focuses on design, analysis and implementation of numerical methods including Adaptive finite element method, Finite difference method, optimal B-Spline collocation approach, Adaptive collocation approach and Discrete Element Method for the efficient numerical solutions of boundary value problems (BVP) for ordinary or partial differential equations which model various physical phenomena in applied science and engineering. Mainly, I study degenerate parabolic partial differential equation of integer or fractional order for financial market (American, European and Asian call and buy options), hyperbolic and elliptic problems for elastic solid mechanics, parabolic problems for biological sciences and a system of partial differential equation of fractional order arising in nuclear reactor dynamics. Moreover, I develop higher order efficient numerical approaches for solving a strongly nonlinear singular BVP governing electrohydrodynamic flow of a fluid in an iron drag configuration in a circular cylindrical conduit.

 

Research Areas:

  • Numerical methods, analysis & scientific computing                                    
  • Singular boundary value problems
  • Fractional ODEs/PDEs
  • Computational Finance
  • Nuclear reactor dynamics
  • Particle based simulation (DEM/MD), Solid Mechanics

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Number of R & D Projects (External Funding): 6

Ongoing: 1

1, Title: Robust graded and adaptive mesh techniques for fractional convection-reaction-diffusion model in higher dimensions 

Funding Agency: NBHM, DAE                                                         

Duration:  Three years (01.05.2023-30.04.2026)          

Cost:   Rs. 15, 53,400/                

Role: Principal Investigator 

 

Completed: 5

1. Title:  Numerical methods for a class of singular two-points boundary value problems         

Funding Agency: Science and Engineering Research Board, DST  (EMR Scheme)                                                            

Duration:  Three years (01.01.2016-31.12.2018)          

Cost:   Rs. 16, 83,720/      

Role: Principal Investigator            

 

2. Title: Design, analysis and implementation of Numerical methods for doubly singular boundary value problems       

Funding Agency: NBHM, DAE                                                         

Duration:  Three years (15.02.2017-14.02.2020)          

Cost:   Rs. 15, 10,000/                

Role: Principal Investigator 

       

3. Title:  Higher-order adaptive approaches for nonlinear singular boundary value problems governing  electrohydrodynamic flow in a circular cylindrical conduit       

Funding Agency: Science and Engineering Research Board, DST  (MATRICS Scheme)                                                            

Duration:  Three years (14.06.2018-13.06.2021)          

Cost:   Rs. 6, 60,000/     

Role: Principal Investigator 

  

4. Title: Numerical methods for solving fractional differential equations arising in nuclear reactor dynamics        

Funding Agency: BRNS, DAE                                                                     

Duration:  Three years (19.06.2018-31.12.2021)                       

Cost:   Rs. 15, 14,000/                 

Role: Principal Investigator       

 

5. Title: Adaptive numerical methods and their convergence for the efficient numerical solution of singular boundary value problems      

Funding Agency: CSIR                                                                 

Duration:  Three years (11.02.2019-10.02.2022)                       

Cost:   Rs. 17, 10,000/                 

Role: Principal Investigator                

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Number of PhD Guided:                     5 (Awarded), 4 (ongoing)

Number of M.sc Thesis Guided:     21  (Completed) , 1 (ongoing)

Number of JRF/SRF Working for PhD: 1  

 

 

                                                                      

Editorial Activities:

 

1. Member, Editorial Board, Mathematical Methods in the Applied Sciences (SCIE), USA, Wiley Publishing, Impact Factor: 3.00

Link:  https://onlinelibrary.wiley.com/journal/10991476

Mathematical Methods in the Applied Sciences

 2. Member, Editorial Board, Journal of Mathematics and Computer Science (Scopus), The International Scientific Research Publications, Impact Factor: 2.5

Link: https://www.isr-publications.com/jmcs    

Journal of Mathematics and Computer Science                                                           

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Publications:

 

Number of SCI/SCIE Publications (International Refereed Journals): 87

Book Chapter: 1 (springer, Germany-Berlin)

 

SN Name of the Journal Indexed in SCI/SCIE Impact Factor, 2021

No of

articles

1

Applied Numerical Mathematics, Elsevier

SCI 2.99 9
2 Applied Mathematics and Computation, Elsevier SCI 4.39 9
3 Numerical Algorithms, Springer SCIE 2.37 3
4 Applied Mathematical Modelling, Elsevier SCI 5.33 1
5 Journal of Computational and Applied Mathematics, Elsevier SCI 2.87 10
6 Mathematical Methods in the Applied Sciences, Wiley SCIE 3.00 12
7 Computers and Mathematics with Applications, Elsevier SCI 3.21 3
8 Numerical Methods for PDEs, Wiley SCIE 3.56 3
9 Communications in Nonlinear Science and Numerical Simulation, Elsevier SCI 4.18 2
10 International Journal of Computer Mathematics, Taylor and Francis SCIE 1.75 4
11 Powder Technology, Elsevier SCI 5.64 2
12 The European Physical Journal Plus, Springer SCI 3.75 2
13

Mathematics and Computers in Simulation, Elsevier

SCI 3.60 1
14 Computational and Applied Mathematics, Springer SCIE 2.99 1
15  Journal of Mathematical Chemistry, Springer SCI 2.41 13
16 Progress in Nuclear Energy, Elsevier SCI 2.46 2
17 Annals of Nuclear Energy, Elsevier SCI 1.81 3
18 Communications in Theoretical Physics, IOP science SCI 2.87 1
19 Granular Matter, Springer SCIE 3.01 1
20 Mediterranean Journal of Mathematics,  Springer SCIE 1.30 1
21 Soft Computing, Springer SCIE 3.73 3
22 Mathematical Modelling and Analysis SCIE 1.80 1
23        

 

After Joining VNIT, Nagpur:

Recent Selected Publications in SCI/SCIE Indexed Journals (Year Wise): 

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Most Cited Articles from Applied Numerical Mathematics published since 2018, extracted from Scopus.

[19]  P. Roul, A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options,  Applied Numerical Mathematics, Elsevier, DOI:10.1016/j.apnum.2019.11.004, 2019, Impact Factor: 2.99, SCI.

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2024-25:

[70]  P. Roul, S.S., Novel numerical methods based on graded, adaptive and uniform mesh for a time-fractional advection-diffusion equation subjected to weakly singular solution, Numerical Algorithms, Springer,  To Appear, 2024. Impact Factor: 3.04, SCIE

[69] P. Roul, T. Kumari,  An efficient computational technique for solving a time-fractional reaction-subdiffusion model in 2D space, In Press, Computers and Mathematics with Applications, Elsevier,   https://doi.org/10.1016/j.camwa.2024.02.018,  2024, Impact Factor: 3.21, SCI.

[68]  P. Roul, Vikas RohilGilberto Espinosa-Paredes, K. Obaidurrahman,  Numerical approximation of a fractional neutron diffusion equation for neutron flux profile in a nuclear reactor, Accepted, Progress in Nuclear Energy, Elsevier, 2024, Impact Factor: 2.46, SCI

[67]  P. Roul, Vikas RohilAn accurate numerical method and its analysis for time-fractional Fisher's equation, To Appear, Soft Computing, Springer,  Impact Factor: 3.73, SCIE

[66] P. Roul: A high-order B-spline collocation method for solving a class of nonlinear singular boundary value problems, In Press, Journal of Mathematical Chemistry,  Springer, DOI: 10.1007/s10910-024-01590-z, 2024. Impact Factor: 2.35, SCI

,

2022-23:

[65] P. Roul,  Design and analysis of efficient computational techniques for solving a temporal-fractional partial differential equation with the weakly singular solution, Mathematical Methods in the Applied Sciences, Wiley, DOI: 10.1002/MMA.9744, 2023, Impact Factor: 3.00, SCIE.

[64]  P. Roul, Vikas RohilA high-accuracy computational technique based on $L2-1_{\sigma}$ and B-spline schemes for solving the nonlinear time-fractional Burgers' equation, Soft Computing, Springer, DOI:10.1007/s00500-023-09413-0, 2023, Impact Factor: 3.73, SCIE

[63] M. Izadi, P. Roul, An effective numerical model for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind, Mathematical Modelling and AnalysisVilnius Gediminas Technical University,  Accepted, 2023, Impact Factor: 1.8, SCIE

[62]  P. Roul, T. KumariDesign of a novel computational procedure for solving electrohydrodynamic flow equation, Soft Computing, Springer,  https://doi.org/10.1007/s00500-023-08156-2, 2023, Impact Factor: 3.73, SCIE

[61] P. Roul, Vikas Rohil,  An efficient numerical scheme and its analysis for the multi-term time-fractional Convection-Diffusion-Reaction equation, Mathematical Methods in the Applied Sciences, Wiley, DOI: 10.1002/mma.9478, 2023, Impact Factor: 3.00, SCIE.

[60] P. Roul, A robust adaptive moving mesh technique for a time-fractional reaction-diffusion model, Communications in Nonlinear Science and Numerical Simulation, Elsevier, https://doi.org/10.1016/j.cnsns.2022.106290,  109, 2022, 106290, Impact Factor: 4.18, SCI.

[59] P. Roul, Design and analysis of a high order computational technique for time-fractional Black-Scholes model describing option pricing, Mathematical Methods in the Applied Sciences, Wiley, https://doi.org/10.1002/mma.8102,  2022,  Impact Factor: 3.00, SCIE.

[58] P. Roul,  A robust numerical technique and its analysis for computing the price of an Asian option, Journal of Computational and Applied Mathematics,  Elsevier, https://doi.org/10.1016/j.cam.2022.114527, 2022, Impact Factor: 2.87, SCI.

[57] P. Roul, Vikas Rohil,  A high-order numerical scheme based on graded mesh and its analysis for the two-dimensional time-fractional convection-diffusion equation, Computers and Mathematics with Applications, Elsevier, https://doi.org/10.1016/j.camwa.2022.09.006, 2022, Impact Factor: 3.21, SCI.

[56] P. Roul, VMKP. Goura, An efficient numerical scheme and its stability analysis for a time-fractional reaction diffusion model, Journal of Computational and Applied Mathematics,  Elsevier,  https://doi.org/10.1016/j.cam.2022.114918, 2022, Impact Factor: 2.87, SCI.

[55]  P. Roul, Vikas Rohil, Gilberto Espinosa-Paredes, K. Obaidurrahman,  An efficient computational technique for solving a new fractional-order model describing dynamics of neutron flux in a nuclear reactor, Annals of Nuclear Energy, Elsevier,  https://doi.org/10.1016/j.anucene.2023.109733, 2023, Impact Factor: 1.81, SCI.

[54] M. Izadi, P. Roul, A new approach based on shifted Vieta-Fibonacci-quasilinearization technique and its convergence analysis for nonlinear third-order Emden-Fowler equation with multi-singularity, Communications in Nonlinear Science and Numerical Simulation, Elsevier, https://doi.org/10.1016/j.cnsns.2022.106912, 2022, Impact Factor: 4.18, SCI.

[53] M. Izadi, P. Roul, Spectral semi-discretization algorithm for a class of nonlinear parabolic PDEs with applications to mathematical biology models, Applied Mathematics and Computation, Elsevier,  https://doi.org/10.1016/j.amc.2022.127226, 429, 127226, 2022, Impact Factor: 4.39, SCI

[52]  P. Roul, T. KumariA novel approach based on mixed exponential compact finite difference and OHA methods for solving a class of nonlinear singular boundary value problems, Int. Journal of Computer Mathematics, Taylor & Francis,  https://doi.org/10.1080/00207160.2022.2140278, 2022, Impact Factor: 1.75, SCIE

[51] P. Roul, T. Kumari, Vikas Rohi, A computational technique for solving the time-fractional Fokker-Planck equation, Mathematical Methods in the Applied Sciences, Wiley, DOI:10.1002/MMA.8332, 2022,  Impact Factor: 3.00, SCIE.

[50] S. Aydinlik, A. Kiris, P. Roul, An effective approach based on Smooth Composite Chebyshev Finite Difference Method and its applications to Bratu-type and higher order Lane–Emden Problems, Mathematics and Computers in Simulation,  Elsevier,  https://doi.org/10.1016/j.matcom.2022.05.032, 2022, Impact Factor: 3.60, SCI

[49].  P. Roul, VMKP. Goura, R. Agarwal: A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems, Int. Journal of Computer Mathematics, Taylor & Francis, DOI: 10.1080/00207160.2022.2065632, 2022. Impact Factor: 1.75, SCIE

[48] M. Izadi, P. Roul, A highly accurate and computationally efficient technique for solving the electrohydrodynamic flow in a circular cylindrical conduit, Applied Numerical Mathematics, Elsevier,  https://doi.org/10.1016/j.apnum.2022.05.016, 2022, Impact Factor: 2.99, SCI

[47] P. Roul, Vikas Rohil,  An efficient numerical algorithm and its convergence for two-dimensional time-fractional reaction-diffusion equation, To Appear, Journal of Computational and Applied Mathematics,  Elsevier,  2022, Impact Factor: 2.62, SCI

[46]  P. Roul, A novel approach for solving nonlinear singular boundary value problems arising in various physical models, Journal of Mathematical Chemistry,  Springer,  DOI: 10.1007/s10910-022-01369-0,  2022. Impact Factor: 2.41, SCI.

[45]  P. Roul, V.M.K.P. Goura, R. Agarwal: A high-order compact finite difference scheme and its analysis for the time-fractional diffusion equation, Journal of Mathematical Chemistry,  Springer,  61, 2146–2175, 2023. Impact Factor: 2.35, SCI

 

2020-21:

[44]  P. Roul, Vikas Rohil, A novel high-order numerical scheme and its analysis for the two-dimensional time fractional reaction-subdiffusion equation, Numerical Algorithms, Springer,  DOI: 10.1007/s11075-021-01233-3, 2021. Impact Factor: 3.04, SCIE

[43] P. Roul, VMKP. Goura, A superconvergent B-spline technique for second order nonlinear boundary value problems, Applied Mathematics and Computation, Elsevier, https://doi.org/10.1016/j.amc.2021.126615, 2021, Impact Factor: 4.09, SCI

[42] P. Roul, Vikas Rohil, A high order numerical technique and its analysis for nonlinear generalized Fisher's equation,  Journal of Computational and Applied Mathematics,  Elsevier,  https://doi.org/10.1016/j.cam.2021.114047, 2021, Impact Factor: 2.62, SCI

[41] P. Roul,V.M.K. Prasad Goura, A high-order efficient technique and its convergence analysis for Bratu-type and Lane-Emden-type problems, Mathematical Methods in the Applied Sciences, Wiley, DOI:10.1002/mma.8102, Impact Factor: 2.32, SCIE

[40]  P. Roul, Vikas Rohil, Gilberto Espinosa-Paredes, K. Obaidurrahman,  Numerical simulation of two-dimensional fractional neutron diffusion model describing dynamical behaviour of sodium-cooled fast reactor, Annals of Nuclear Energy, Elsevier,  https://doi.org/10.1016/j.anucene.2021.108709, 2021, Impact Factor: 1.77, SCI.

[39]  P. Roul, T. Kumari, A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems, Journal of Mathematical Chemistry,  Springer,  DOI : 10.1007/s10910-021-01293-9,  2021. Impact Factor: 2.35, SCI.

[38] P. Roul, VMKP. Goura, An efficient numerical method based on redefined cubic B-spline basis functions for pricing Asian options, Journal of Computational and Applied Mathematics,  Elsevier,  https://doi.org/10.1016/j.cam.2021.113774, 2021, Impact Factor: 2.62, SCI

[37] P. Roul,Vikas Rohil, K. Obaidurrahman,  A novel numerical method for solving the one-speed fractional neutron diffusion equation, Numerical Methods for Partial Differential Equations, Wiley,  DOI: 10.1002/num.22808, 2021, Impact Factor: 3.00, SCIE.

[36] P. Roul, V.M.K. Prasad Goura,A compact finite difference scheme for fractional Black-Scholes option pricing model Applied Numerical Mathematics, Elsevier, https://doi.org/10.1016/j.apnum.2021.03.017. 2021, Impact Factor: 2.46, SCI

[35] P. Roul,V.M.K. Prasad Goura,  Klaus Kassner, A new higher order computational approach for electro-hydrodynamic flow of a fluid in an ion -drag configuration in a circular cylindrical conduit, Applied Numerical Mathematics, Elsevier,  https://doi.org/10.1016/j.apnum.2021.02.011, 2021, Impact Factor: 2.46, SCI

[34]  P. Roul, T. Kumari, VMKP. Goura, An efficient numerical approach for solving a general class of nonlinear singular boundary value problems, Journal of Mathematical Chemistry,   Springer, DOI : 10.1007/s10910-021-01279-7,  2021. Impact Factor: 2.35, SCI

[33]  P. Roul, V.M.K.P. Goura, A fast numerical scheme for solving singular boundary value problems arising in various physical models, Journal of Mathematical Chemistry ,  Springer,  DOI :10.1007/s10910-021-01316-5, 2021. Impact Factor: 2.35, SCI

[32] P. Roul,Vikas Rohil, Gilberto Espinosa-Paredes, K. Obaidurrahman,  An efficient numerical method for fractional neutron diffusion equation in the presence of different types of reactivities,Annals of Nuclear Energy, Elsevier, https://doi.org/10.1016/j.anucene.2020.108038,  2020, Impact Factor: 1.77, SCI.

[31] P. Roul, V.M.K.P. Goura, Roberto Cavoretto, A numerical technique based on B-spline for a class of time-fractional diffusion equation, Numerical Methods for Partial Differential Equations, Wiley DOI: https://doi.org/10.1002/num.22790, 2021, Impact Factor: 3.00, SCIE

[30] P. Roul, T. Kumari, VMKP Goura,  An efficient numerical method based on exponential B-spline basis functions for solving a class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions, Mathematical Methods in the Applied Sciences, Wiley 2020; 1-20, https://doi.org/10.1002/mma.6947, Impact Factor: 3.00 SCIE.

[29] P. Roul, V.M.K.P. Goura,  Numerical solution of doubly singular boundary value problems by finite difference method, Computational and Applied Mathematics, Springer, 2020, DOI: 10.1007/s40314-020-01344-y, Impact Factor: 2.23, SCIE

[28] P. Roul, V.M.K.P. Goura,  A high order numerical scheme for solving a class of non-homogeneous time-fractional reaction diffusion equation, Numerical Methods for Partial Differential Equations, Wiley 2020, DOI: 10.1002/num.22594, Impact Factor: 3.00, SCIE

[27] P. Roul,Vikas Rohil, Gilberto Espinosa-Paredes,V.M.K. Prasad Goura,  R.S. Gedam, K. Obaidurrahman, Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons, Applied Numerical Mathematics, Elsevier, https://doi.org/10.1016/j.apnum.2020.07.007, 2020, Impact Factor: 2.99, SCI

[26] P. Roul,V.M.K. Prasad Goura, A high-order B-spline collocation scheme for solving a non-homogeneous time-fractional diffusion equation, Mathematical Methods in the Applied Sciences, Wiley, DOI: 10.1002/mma.6760, Impact Factor: 3.00, SCIE

[25] P. Roul, A fourth-order non-uniform mesh optimal B-spline collocation method for solving a strongly nonlinear singular boundary value problem describing electrohydrodynamic flow of a fluid, Applied Numerical Mathematics, Elsevier, https://doi.org/10.1016/j.apnum.2020.03.018, 2020, Impact Factor: 2.99, SCI

[24] P. Roul, VMK P. Goura: A Bessel collocation method for solving Bratu's problem, Journal of Mathematical Chemistry, Springer, http://link.springer.com/article/10.1007/s10910-020-01147-w, 2020,  Impact Factor: 2.41, SCI.

[23] P. Roul, VMK P. Goura, R. Agarwal: An optimal computational method for a general class of nonlinear boundary value problems Journal of Mathematical Chemistry, Springer, https://doi.org/10.1007/s10910-023-01493-5, 2023,  Impact Factor: 2.41, SCI.

[22]  P. Roul, A fourth order numerical method based on B-spline functions for Pricing Asian Options, Computers and Mathematics with Applications, Elsevier, https://doi.org/10.1016/j.camwa.2020.04.001 2020, Impact Factor: 3.47, SCI.

[21] P. Roul, VMK P. Goura: A sixth order numerical method and its convergence for generalized Black-Scholes PDE, Journal of Computational and Applied Mathematics, Elsevier, https://doi.org/10.1016/j.cam.2020.112881, 2020,  Impact Factor: 2.62, SCI.

[20] P. Roul, VMK P. Goura: A sixth order optimal B-spline collocation method for solving Bratu's problem, Journal of Mathematical Chemistry, Springer, https://doi.org/10.1007/s10910-020-01105-6, 2020,  Impact Factor: 2.35, SCI.

 

2018-19:

[19]  P. Roul, A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options,  Applied Numerical Mathematics, Elsevier, DOI:10.1016/j.apnum.2019.11.004, 2019, Impact Factor: 2.46, SCI.

[18]  P. Roul, VMK P. Goura: A high order numerical method and its convergence for time-fractional fourth order partial differential equations,  Applied Mathematics and Computation, Elsevier,  https://doi.org/10.1016/j.amc.2019.124727366, 2019., 124727 Impact Factor: 4.09, SCI

[17] P. Roul, VMK P. Goura, R. Agarwal:A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems, Applied Numerical Mathematics, Elsevier,  https://doi.org/10.1016/j.apnum.2019.06.016, 2019,Impact Factor: 2.46, SCI

[16] P. Roul, VMK P. Goura: A new higher order compact finite difference method for generalized Black-Scholes partial differential equation: European call option, Journal of Computational and Applied Mathematics, Elsevier,  DOI:10.1016/j.cam.2019.06.015, Impact Factor: 2.62, SCI

[15] VMK P. Goura, P. Roul: Erratum to: B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems, Applied Mathematics and Computation, Elsevier,  361, 198-201, 2019, https://doi.org/10.1016/j.amc.2019.05.022, Impact Factor: 4.09, SCI

[14] P. Roul, VMK P. Goura, R. Agarwal:  A compact finite difference method for a general class of nonlinear boundary value problems with Neumann and Robin boundary conditions Applied Mathematics and Computation, Elsevier, https://doi.org/10.1016/j.amc.2019.01.001 , Impact Factor: 4.09, SCI

[13].  P. RoulA new mixed MADM-Collocation approach for solving a class of Lane-Emden singular boundary value problems, Journal of Mathematical Chemistry, Springer, https://doi.org/10.1007/s10910-018-00995-x,  2018. Impact Factor: 2.35, SCI 

[12]. P. Roul,  K. Thula, VMK P. Goura: An optimal sixth-order quartic B-spline collocation method for solving Bratu and Lane-Emden type problems, Mathematical Methods in the Applied Sciences, Willey, https://doi.org/10.1002/mma.5537.Impact Factor: 2.32, SCIE

[11].  P. Roul"Doubly singular boundary value problems with derivative dependent source function: A fast-converging iterative approach, Mathematical Methods in the Applied Sciences, Willey, DOI:10.1002/mma.5351, Impact Factor: 2.32, SCIE

[10]. P. Roul, VMK P. Goura:  B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems,  341, 428-450,  2018,  Applied Mathematics and Computation, ElsevierImpact Factor: 4.09, SCI

[9]. P. Roul, K. Thula: A new high-order numerical method for solving singular two-point boundary value problems, Journal of Computational and Applied Mathematics, Elsevier, https://doi.org/10.1016/j.cam.2018.04.056, 2018,  Impact Factor: 2.62, SCI

[8]. P. Roul, K. Thula: A high order B-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science, Mediterranean Journal of Mathematics, Springer,  15, 1767, 2018,  https://doi.org/10.1007/s00009-018-1220-y, Impact Factor: 1.40, SCIE

 

2016-17:

[7].  P. Roul: On the numerical solution of singular two-point boundary value problem: a domain decomposition homotopy perturbation approach, Mathematical Methods in the Applied Sciences, Willey, DOI: 10.1002/mma.4536,  2017, Impact Factor: 2.32, SCIE

[6].  P. Roul,  D. Biswal: A new numerical approach for solving a class of singular two-point boundaryvalue problems, Numerical Algorithms, Springer, 75, 531-552, 2017. Impact Factor: 3.04, SCIE

[5].  P. Roul, K. Thula: A fourth order B-spline collocation method and its error analysis for Bratu-type and Lane-Emden problems, Int. Journal of Computer Mathematics, Taylor & Francis, https://doi.or g/10.1080/0020716 0.2017.1417592, 2017. Impact Factor: 1.93, SCIE

[4].  P. Roul : A fast and accurate computational technique for efficient numerical  solution of nonlinear singular boundary value problems, Int. Journal of Computer Mathematics, Taylor & Francis,  https://doi.or g/10.1080/0020716 0.2017.1417588, 2017. Impact Factor: 1.93, SCIE

[3].  P. Roul : A new efficient recursive technique for solving singular boundary problem arising In various physical models, European Physical Journal Plus, Springer. 131 (4) 1-15, 2016. Impact Factor: 3.94, SCI.

[2].  P. Roul: An improved iterative technique for solving nonlinear doubly singular two-point Boundary value problems, European Physical Journal Plus, Springer, 131 (6) 1-15, 2016. Impact Factor: 3.94, SCI.

 

2014-15:

[1].  P. Roul, U. Warbhe: A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems, Journal of Computational and Applied Mathematics, Elsevier, 296, 661-676, 2016.  Impact Factor: 2.62, SCI.

 

Before Joining VNIT, Nagpur: (Selected papers in SCI/SCIE indexed Journals):

 

[6].  P. Roul, P. Meyer:  Numerical solutions of systems of nonlinear integro-differential equations by  homotopy-perturbation method. Applied Mathematical Modelling, Elsevier, 35, 4234-4242, 2011. Impact Factor: 5.14, SCI.

[5].  P. Roul: Numerical solutions of time fractional degenerate parabolic equations by variational  iteration method with Jumarie modified Reimann-Liouville derivative, Mathematical Methods  in the Applied Sciences, Willey, 34, 1025-1035, 2011. Impact Factor: 2.32, SCIE.

[4].  P. Roul: Analytical approach for nonlinear partial differential equations of fractional order, Communication in Theoretical Physics, IOP Science, 60, 269-277, 2013, Impact Factor: 1.97,  SCI.

[3].  P. Roul, A. Schinner, K. Kassner: Simulation of the strain distribution under a two-dimensional sandpile, Powder Technology, Elsevier, 214, 406-414, 2011. Impact Factor: 5.13. SCI.

[2].  P. Roul, A. Schinner: Simulation study on micro and macro mechanical behaviour of sand piles, Powder Technology, Elsevier, 204, 113-123, 2010, Impact Factor: 5.13, SCI.

[1]. P. Roul, A. Schinner, K. Kassner: Mechanical properties of non-cohesive polygonal particle aggregates. Granular Matter, Springer, 13 (2011) 303-317. Impact Factor: 2.65, SCI.E


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Fellowship/Award:

1. DFG (German Research Foundation) Fellowship for PhD, Otto Von Guericke University, Germany

2. DFG Fellowship for Postdoc at Duisburg-Essen University and Potsdam University, Germany

3: GATE (Percentile: 95.46, AIR-56)

4. CSIR-UGC (JRF, NET)

5. Portugal Postdoc Fellowship (Not availed)

6. Rank-1, Highest Percentage in M.Sc


Teaching Interests:

  •  Adaptive Finite Element Methods
  •  Numerical Analysis
  • Theory of ODEs, PDEs
  •  Fractional Calculus
  •  Continuum Mechanics
  •  Differential Geometry
  •  Complex  Analysis       
  •  Algebra 

Courses Taught:

PG/PhD:

Finite Element Method (MAL544)

Theory of ODEs (MAL513)

Numerical Analysis (MAL525)

Algebera (MAL523)

Advanced Engineering Mathematics (MAL501)

Numerical Computational Lab (MAP526)

Matrix Iterative Analysis (MAL 611)

Numerical solutions of differential equations (MAL536)

UG:

Mathematics-I (MAL101)

Mathematics-II (MAL102)

Integral Transform & PDEs (MAL202)

Numerical methods and Probabilty Theory (MAL205)

Linear Algebra and PDEs (MAL210)

Numerical methods and Computation (MAL203)

Numerical Analysis (MAL202)

 


Research Collaboration:

1. Prof. Ravi P. Agrawal, Texas A & M University, Kingsville, USA

2. Prof. Klaus Kassner, Otto von Guericke University, Germany.

3. Prof. Roberto Cavoretto, Università degli Studi di Torino, Turin, Italy

4. Prof. Gilberto Espinosa Paredes,  Universidad Autnoma Metropolitana-Iztapalapa, Cd. Mxico

5.  Dr. Obaidurrahman K. (Scientist G), Bhabha Atomic Research Centre, Mumbai, India

6. Prof. Mohammad Izadi, Shahid Bahonar University of Kerman, Iran

7. Prof. Jianxiong Cao, Lanzhou University of Technology, China

8. Prof. Soner Aydinlik, Dogus University, Turkey
 

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Reviewer (International Journals, SCI/SCIE indexed):

 1. Journal of Scientific Computing, Springer

 2. Applied Numerical Mathematics, Elsevier

 3. Computers and Mathematics with Applications, Elsevier

 4. Applied Mathematics and Computation, Elsevier

 5. Journal of Computational and Applied Mathematics, Elsevier

 6. Mathematical Methods in the Applied Sciences, John Wiley and sons, Ltd.

 7. Applied Mathematics Letters, Elsevier

 8. Communications in Nonlinear Science and Numerical Simulation, Elsevier

 9. Mathematics and Computers in Simulation, Elsevier

10. Numerical Algorithms, Springer

11. Soft Computing, Springer

12. Mathematical and Computer Modelling, Elsevier

13. Int. Journal of Computer Mathematics, Taylor & Francis

14. Advances in Difference Equations, Springer

15. International Journal of Computational Methods, World Scientific

16. Journal of Mathematical Chemistry, Springer

17. International journal of nonlinear sciences and numerical simulations, De Gryuter

18. Powder Technology, Elsevier

19. Granular Matter, Springer

20. International journal of Nonlinear Engineering, De Gruyter

21. Journal of Applied Mathematics and Computing, Springer

22. Journal of Engineering Mathematics, Springer

23. AIMS Mathematics

24. Neurocomputing, Elsevier

25. Engineering with Computers, Springer

26. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal

27. Results in Applied Mathematics, Elsevier

28.  Digital Signal Processing,  Elsevier

29. SN Applied Sciences, Springer

30. Mathematical Modelling and Analysis, VGTU

31. International Journal of Biomathematics, World Scientific

32. Discrete Dynamics in Nature and Society, Hindawi

33. Journal of Computational Science, Elsevier

34. International Communications in Heat and Mass Transfer, Elsevier

35. Alexandria Engineering Journal, Elsevier

36. Mathematical Reviews (USA), American Mathematical Society

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