Dr.Vembu Shanthi

About Dr.Vembu Shanthi

Dr.Vembu Shanthi, With an exceptional h-index of 14 and a recent h-index of 11 (since 2020), a distinguished researcher at National Institute of Technology, Tiruchirappalli, specializes in the field of differential equations, singular perturbation problems, numerical analysis, partial differential equations, system of equations.

His recent articles reflect a diverse array of research interests and contributions to the field:

A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term

A numerical solution of singularly perturbed Fredholm integro-differetial equation with discontinuous source term

Numerical Treatment of a Two-Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms

A numerical method for a system of singularly perturbed Fredholm integro-differential reaction–diffusion equation

A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection–reaction–diffusion PDEs

A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers

A finite difference method for a singularly perturbed 2‐D elliptic convection‐diffusion PDEs on Shishkin‐type meshes with non‐smooth convection and source terms

A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms

Dr.Vembu Shanthi Information

University

Position

Associate Professor Mathematics

Citations(all)

591

Citations(since 2020)

343

Cited By

367

hIndex(all)

14

hIndex(since 2020)

11

i10Index(all)

17

i10Index(since 2020)

12

Email

University Profile Page

National Institute of Technology, Tiruchirappalli

Google Scholar

View Google Scholar Profile

Dr.Vembu Shanthi Skills & Research Interests

differential equations

singular perturbation problems

numerical analysis

partial differential equations

system of equations

Top articles of Dr.Vembu Shanthi

Title

Journal

Author(s)

Publication Date

A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term

arXiv preprint arXiv:2401.02331

Ram Shiromani

Niall Madden

V Shanthi

2024/1/4

A numerical solution of singularly perturbed Fredholm integro-differetial equation with discontinuous source term

Journal of Computational and Applied Mathematics

Ajay Singh Rathore

Vembu Shanthi

2024/3/1

Numerical Treatment of a Two-Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms

Differential Equations and Dynamical Systems

Ram Shiromani

Vembu Shanthi

Higinio Ramos

2024/2/8

A numerical method for a system of singularly perturbed Fredholm integro-differential reaction–diffusion equation

Journal of Computational and Applied Mathematics

Ajay Singh Rathore

Vembu Shanthi

2024/2/1

A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection–reaction–diffusion PDEs

Journal of Computational and Applied Mathematics

Carmelo Clavero

Ram Shiromani

Vembu Shanthi

2024/1/15

A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers

Mathematics and Computers in Simulation

Ram Shiromani

Vembu Shanthi

Higinio Ramos

2023/4/1

A finite difference method for a singularly perturbed 2‐D elliptic convection‐diffusion PDEs on Shishkin‐type meshes with non‐smooth convection and source terms

Mathematical Methods in the Applied Sciences

Ram Shiromani

Vembu Shanthi

J Vigo‐Aguiar

2023/3/30

A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms

Computers & Mathematics with Applications

Ram Shiromani

Vembu Shanthi

Pratibhamoy Das

2023/7/15

Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions

Computers & Mathematics with Applications

Carmelo Clavero

Ram Shiromani

Vembu Shanthi

2023/6/15

A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term

Applied Numerical Mathematics

Ajay Singh Rathore

Vembu Shanthi

Higinio Ramos

2023/3/1

Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions

Applied Numerical Mathematics

Ram Shiromani

Vembu Shanthi

Higinio Ramos

2023/5/1

Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE

Applied Numerical Mathematics

Satpal Singh

Devendra Kumar

Vembu Shanthi

2023/4/1

A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients

Applied Mathematics and Computation

K Aarthika

Vembu Shanthi

Higinio Ramos

2022/12/1

A higher-order finite difference method for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem

Computers & Mathematics with Applications

K Aarthika

Ram Shiromani

Vembu Shanthi

2022/7/15

A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms

International Journal of Computer Mathematics

K Aarthika

Vembu Shanthi

Higinio Ramos

2021/1/2

Finite difference upwind schemes for system of two coupled parabolic type of convection-diffusion equation with non-smooth terms.

Mathematics in Engineering, Science & Aerospace (MESA)

K Aarthika

V Shanthi

2020/6/1

A non-uniform difference scheme for solving singularly perturbed 1D-parabolic reaction–convection–diffusion systems with two small parameters and discontinuous source terms

Journal of Mathematical Chemistry

K Aarthika

V Shanthi

Higinio Ramos

2020/3

A robust second order numerical method for a weakly coupled system of singularly perturbed reaction-diffusion problem with discontinuous source term

International Journal of Computing Science and Mathematics

Pathan Mahabub Basha

Vembu Shanthi

2020

See List of Professors in Dr.Vembu Shanthi University(National Institute of Technology, Tiruchirappalli)

Co-Authors

H-index: 30
Srinivasan Natesan

Srinivasan Natesan

Indian Institute of Technology Guwahati

H-index: 30
HIGINIO RAMOS

HIGINIO RAMOS

Universidad de Salamanca

H-index: 20
Pratibhamoy Das

Pratibhamoy Das

Indian Institute of Technology Patna

H-index: 9
Ayyadurai Tamilselvan

Ayyadurai Tamilselvan

Bharathidasan University

H-index: 7
Dr. R. Mythili priyadharshini

Dr. R. Mythili priyadharshini

National Institute of Technology, Karnataka

H-index: 5
Aarthika K

Aarthika K

National Institute of Technology, Tiruchirappalli

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