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

An efficient computational approach and its analysis for the Caputo time-fractional convection reaction–diffusion equation in two-dimensional space

Open Access
Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Year: 2025. Volume: 48 , Issue: 1 , Pages: 155-175 .
Authors: Roul P.;Yadav J.;Kumari T.
DOI 10.1002/mma.10320
1

A high-order numerical scheme and its analysis for Caputo temporal-fractional Black-Scholes model: European double barrier knock-out option

Open Access
Article
Numerical Algorithms. Year: 2025. Volume: 98 , Issue: 1 , Pages: 467-502 .
Authors: Roul P.
DOI 10.1007/s11075-024-01802-2
2

A high order numerical method for 2D time-fractional neutron diffusion equation characterizing neutron transport in nuclear reactors

Open Access
Article
Nuclear Engineering and Design. Year: 2025. Volume: 441 .
Authors: Cao J.;Zhao X.;Roul P.
DOI 10.1016/j.nucengdes.2025.114145

Novel numerical methods based on graded, adaptive and uniform meshes for a time-fractional advection-diffusion equation subjected to weakly singular solution

Open Access
Article
Numerical Algorithms. Year: 2025. Volume: 98 , Issue: 2 , Pages: 531-561 .
Authors: Roul P.;Sundar S.
DOI 10.1007/s11075-024-01804-0
4

Two efficient non-uniform mesh numerical techniques for a multi-term time-fractional advection-diffusion equation: Moving mesh method

Open Access
Article
Numerical Algorithms. Year: 2025.
Authors: Roul P.;Sundar S.
DOI 10.1007/s11075-025-02042-8

H1-norm error analysis of an ADI compact finite difference method for a two-dimensional time-fractional reaction-diffusion equation with variable coefficients

Open Access
Article
Year: 2025. Volume: 194 , Pages: 135-157 .
Authors: Roul P.;Khandagale S.N.;Cao J.
DOI 10.1016/j.camwa.2025.06.011

An accurate numerical method and its analysis for time-fractional Fisher’s equation

Open Access
Article
Soft Computing. Year: 2024. Volume: 28 , Issue: 19 , Pages: 11495-11514 .
Authors: Roul P.;Rohil V.
DOI 10.1007/s00500-024-09885-8
2

Numerical approximation of a two-dimensional fractional neutron diffusion model describing dynamics of neutron flux in a nuclear reactor

Open Access
Article
Progress in Nuclear Energy. Year: 2024. Volume: 172 .
Authors: Roul P.;Rohil V.;Espinosa-Paredes G.;Obaidurrahman K.
DOI 10.1016/j.pnucene.2024.105212
4