Ministry of Education
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Dr P Roul

vidwan id: 122775
Male

Assistant Professor, Department of Mathematics
Visvesvaraya National Institute of Technology

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Expertise

  • Applied Mathematics

Publications

Total Articles 105
Books 0
Proceedings 0

Publications

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Scopus

Citations 1643
h-index 26

CrossRef

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Citations 166
h-index 8
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Bio

Numerical Analysis, ODE and Fractional Calculus

Personal Details

  • Male
  • Assistant Professor , Visvesvaraya National Institute of Technology
  • Department of Mathematics, Visvesvaraya National Institute of Technology
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Assistant Professor Aug 2012 – Present
Visvesvaraya National Institute of Technology | Department of Mathematics

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Co-Authors (5)

V.M.K.Prasad

Dr V.M.K.Prasad Goura

Amrita Vishwa Vidyapeetham, Coimbatore

Vikas

Dr Vikas Rohil

Amrita Vishwa Vidyapeetham, Coimbatore

S

Prof S Sundar

Indian Institute of Technology Madras

Kiran Kumar

Dr Kiran Kumar Thula

SR University

Ujwal

Dr Ujwal Warbhe

Indian Institute of Information Technology, Nagpur

Scholarly Work

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Scholarly Publications

A high order numerical scheme for solving a class of non-homogeneous time-fractional reaction diffusion equation

Open Access
Article
Year: 2021. Volume: 37 , Issue: 2 , Pages: 1506-1534 .
Authors: Roul P.;Goura V.M.K.P.
DOI 10.1002/num.22594
23

A high-order B-spline collocation scheme for solving a nonhomogeneous time-fractional diffusion equation

Open Access
Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Year: 2021. Volume: 44 , Issue: 1 , Pages: 546-567 .
Authors: Roul P.;Goura V.P.
DOI 10.1002/mma.6760
12

A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options

Open Access
Article
Applied Numerical Mathematics. Year: 2020. Volume: 151 , Pages: 472-493 .
Authors: Roul P.
DOI 10.1016/j.apnum.2019.11.004
95

A high order numerical method and its convergence for time-fractional fourth order partial differential equations

Open Access
Article
Applied Mathematics and Computation. Year: 2020. Volume: 366 .
Authors: Roul P.;Prasad Goura V.M.K.
DOI 10.1016/j.amc.2019.124727
1 34

A sixth order optimal B-spline collocation method for solving Bratu’s problem

Open Access
Article
Journal of Mathematical Chemistry. Year: 2020. Volume: 58 , Issue: 5 , Pages: 967-988 .
Authors: Roul P.;Goura V.M.K.P.
DOI 10.1007/s10910-020-01105-6
8

A new higher order compact finite difference method for generalised Black–Scholes partial differential equation: European call option

Open Access
Article
Journal of Computational and Applied Mathematics. Year: 2020. Volume: 363 , Pages: 464-484 .
Authors: Roul P.;Prasad Goura V.M.K.
DOI 10.1016/j.cam.2019.06.015
39

Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons

Open Access
Article
Applied Numerical Mathematics. Year: 2020. Volume: 157 , Pages: 634-653 .
Authors: Roul P.;Rohil V.;Espinosa-Paredes G.;Prasad Goura V.M.K.;Gedam R.S.;Obaidurrahman K.
DOI 10.1016/j.apnum.2020.07.007
31

Numerical solution of doubly singular boundary value problems by finite difference method

Open Access
Article
Year: 2020. Volume: 39 , Issue: 4 .
Authors: Roul P.;Goura V.M.K.P.
DOI 10.1007/s40314-020-01344-y
7