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Dr. rer. nat. Pradip Roul (PhD from OVG University, Germany)

Assistant Professor                                                                                          

Department of Mathematics

Visvesvaraya National Institute of Technology, Nagpur  

South Ambazari Road      




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


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

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

Dr. Roul 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 the University of Magdeburg, Germany in 2009. After finishing his doctoral studies, Dr. Roul joined the applied Numerical mathematics group, headed by Prof. K. Siebert, 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 research group of Prof. M. Hoschneider, Institute of Applied Numerical mathematics, Potsdam University, Germany for another postdoctoral work. Before joining the VNIT, Nagpur, Dr. Roul was employed as a postdoctoral research fellow at the Institute of Mathematics, University of Toulouse, France. As of now, he has twenty two publications in international peer reviewed journals and contributed in book chapter. Under him, two students completed their PhD work.  Dr. Roul also serves as reviewer for many international scientific journals.

Research Interests:

  • Numerical analysis & scientific computing
  • Singular boundary value problems
  • Fractional ODE/PDE
  • Financial Mathematics
  • Nuclear reactor dynamics
  • Particle based simulation (DEM)

  Teaching Interests:

  • Adaptive Finite Element Methods
  •  Numerical Analysis
  •  Theory of ODE, PDE
  •   Fractional Calculus
  •   Continuum Mechanics
  •   Differential Geometry                                                                      

Recent Publications in SCI/SCIE Indexed Journals:  


[13]. P. Roul, H. Madduri, K. Kassner: A new iterative algorithm for a strongly nonlinear singular boundary value problem, To appear in Journal of Computational and Applied Mathematics, Elsevier,  2018,  Impact Factor: 1.63 (2017), SCI

[12].  P. Roul, H. Madduri: A new highly accurate domain decomposition optimal homotopy analysis method and its convergence for singular boundary value problems, Mathematical Methods in the Applied Sciences, Willey, DOI:10.1002/mma.5181, 2018,  Impact Factor: 1.18  (2017), SCIE

[11]. 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: 1.63 (2017), SCI

[10]. 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: 1.00 (2017), SCIE


[9].  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: 1.18 (2017), SCIE

[8].  P. Roul,  D. Biswal: A new numerical approach for solving a class of singular two-point boundaryvalue problems, Numerical Algorithm, Springer, 75, 531-552, 2017. Impact Factor: 1.53 (2017), SCIE

[7].  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: 1.05 (2017), SCIE

[6].  P. Roul, U. Warbhe:  New approach for solving a class of singular boundary value problem arising in various physical Models, Journal of Mathematical Chemistry, Springer, 54 (6)  255-1285,  2016. Impact Factor: 1.88 (2017), SCI 

[5].  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: 1.05 (2017), SCIE

[4]. P. Roul, U. Warbhe: A new homotopy perturbation scheme for solving singular boundary value problems arising in various physical models, Zeitschrift für Naturforschung A, De Gruyter, 72 (8) 733-743, 2017.  Impact Factor: 1.43 (2016), SCI

[3].  P. Roul : A new efficient recursive technique for solving singular boundary problem arising In various physical models, The European Physical Journal Plus, Springer. 131 (4) 1-15, 2016. Impact Factor: 2.24 (2017), SCI.

[2].  P. Roul: An improved iterative technique for solving nonlinear doubly singular two-point Boundary value problems, The European Physical Journal Plus, Springer, 131 (6) 1-15, 2016.  Impact Factor: 2.24 (2017), SCI.


[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: 1.63 (2017), SCI


Number of Research Projects: 4  (DST (EMR)-1, NBHM-1, BRNS-1, DST-MATRICS-1)

Number of PhD Guided:

1 (Awarded), 1 (submitted),  2 (ongoing)

Number of M.sc Thesis Guided:

10 (Completed) , 2 (ongoing)

Number of JRF Working: 0

Number of SCI/SCIE Publications (Int): 19

Number of Scopus publication (Int): 1

Book Chapter: 1 (springer, Germany-Berlin)



1. DFG Fellowship for PhD

2. DFG Fellowship for Postdoc

3: GATE (Percentile: 95.46)



Courses Taught at VNIT:


Finite Element Method (MAL544)

Theory of ODE (MAL513)

Numerical Analysis (MAL525)

Algebera (MAL523)

Numerical Computational Lab (MAP-526)


MATH-I (MAL-101), MATH-II (MAL-102)

Integral Transform & PDE (MAL-202)

Numerical methods and Probabilty Theory (MAL-205)

Numerical methods and Computation (MAL-203)



Open Position:

Coming  a JRF position very voon!




Last Updated on: 16.08.2018