Dr P Roul

vidwan id: 122775

Male

Assistant Professor, Department of Mathematics
Visvesvaraya National Institute of Technology

36449269400

Expertise

Applied Mathematics

Publications

Total Articles 105

Books 0

Proceedings 0

Publications

Scopus

Citations 1643

h-index 26

CrossRef

Citations 166

h-index 8

Google Scholar

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Professional Recognition

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Community & Membership

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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)

Dr V.M.K.Prasad Goura

Amrita Vishwa Vidyapeetham, Coimbatore

Dr Vikas Rohil

Amrita Vishwa Vidyapeetham, Coimbatore

Prof S Sundar

Indian Institute of Technology Madras

Dr Kiran Kumar Thula

SR University

Dr Ujwal Warbhe

Indian Institute of Information Technology, Nagpur

Scholarly Work

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Scholarly Publications

A high-order numerical scheme based on L2-1σ-ADI difference method on nonuniform meshes for a 2D variable coefficients time fractional reaction–diffusion equation

Open Access

Article

Communications in Nonlinear Science and Numerical Simulation. Year: 2026. Volume: 152 .

Authors: Roul P.;Khandagale S.N.

10.1016/j.cnsns.2025.109185

High-resolution numerical method for the time-fractional fourth-order diffusion problems via improved quintic B-spline function

Open Access

Article

Journal of Applied Mathematics and Computing. Year: 2025. Volume: 71 , Issue: 1 , Pages: 133-171 .

Authors: Alam M.P.;Khan A.;Roul P.

10.1007/s12190-024-02229-7

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.

10.1007/s11075-024-01802-2

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.

10.1002/mma.10320

A graded mesh technique for numerical approximation of a multi-term Caputo time-fractional Fokker-Planck equation in 2D space

Open Access

Article

Year: 2025. Volume: 178 , Pages: 92-107 .

Authors: Roul P.;Kumari T.;Khandagale S.N.

10.1016/j.camwa.2024.11.031

High-order numerical schemes based on B-spline for solving a time-fractional Fokker–Planck equation

Open Access

Article

Journal of Computational and Applied Mathematics. Year: 2025. Volume: 460 .

Authors: Roul P.;Kumari T.

10.1016/j.cam.2024.116386

Numerical Solution for a Time-Fractional Black-Scholes Model Describing European Option

Open Access

Article

Computational Economics. Year: 2025. Volume: 66 , Issue: 2 , Pages: 1427-1454 .

Authors: Roul P.

10.1007/s10614-024-10720-3

Stability and Convergence Analysis of a Robust Numerical Scheme for the Variable Coefficient Multiterm Time-Fractional Convection–Reaction–Diffusion Equation With Nonsmooth Solution

Open Access

Article

MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Year: 2025. Volume: 48 , Issue: 11 , Pages: 11397-11418 .

Authors: Roul P.;Khandagale S.

10.1002/mma.10972