On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems

Reaction Diffusion ◽

Singularly Perturbed ◽

Time Dependent ◽

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 ◽

10.1080/00207160.2020.1733538 ◽

2020 ◽

pp. 1-16

Author(s):

K. Aarthika ◽

V. Shanthi ◽

Higinio Ramos

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Source Terms

A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction–diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.10.072 ◽

2012 ◽

Vol 218 (9) ◽

pp. 5067-5080 ◽

Cited By ~ 8

Author(s):

C. Clavero ◽

J.L. Gracia

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Reaction Diffusion ◽

High Order ◽

Singularly Perturbed ◽

High-Order Compact Finite-Difference Scheme for Singularly-Perturbed Reaction-Diffusion Problems on a New Mesh of Shishkin Type

Journal of Optimization Theory and Applications ◽

10.1007/s10957-009-9547-y ◽

2009 ◽

Vol 143 (1) ◽

pp. 123-147 ◽

Cited By ~ 13

Author(s):

V. Kumar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Reaction Diffusion ◽

High Order ◽

Singularly Perturbed ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

A compact finite difference scheme for 2D reaction–diffusion singularly perturbed problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.04.056 ◽

2006 ◽

Vol 192 (1) ◽

pp. 152-167 ◽

Cited By ~ 5

Author(s):

J.L. Gracia ◽

C. Clavero

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

An almost third order finite difference scheme for singularly perturbed reaction–diffusion systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.03.011 ◽

2010 ◽

Vol 234 (8) ◽

pp. 2501-2515 ◽

Cited By ~ 12

Author(s):

C. Clavero ◽

J.L. Gracia ◽

F.J. Lisbona

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Third Order ◽

Reaction Diffusion Systems ◽

Diffusion Systems

Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2009.m8015 ◽

2010 ◽

Vol 3 (1) ◽

pp. 1-22 ◽

Cited By ~ 17

Author(s):

Jugal Mohapatra and Srinivasan Natesan

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Uniform Convergence ◽

Convergence Analysis ◽

Delay Differential Equation ◽

Singularly Perturbed ◽

Delay Differential

A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1597972 ◽

2019 ◽

Vol 97 (4) ◽

pp. 875-905 ◽

Cited By ~ 1

Author(s):

Maneesh Kumar Singh ◽

Srinivasan Natesan

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Convection Diffusion ◽

Perturbed System ◽

A high-order finite difference scheme for a singularly perturbed reaction-diffusion problem with an interior layer

Advances in Difference Equations ◽

10.1186/s13662-017-1268-1 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Zhongdi Cen ◽

Anbo Le ◽

Aimin Xu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Reaction Diffusion ◽

Diffusion Problem ◽

High Order ◽

Singularly Perturbed ◽

Interior Layer ◽

High Order Finite Difference

International Journal for Computational Methods in Engineering Science and Mechanics ◽

The Midpoint Upwind Finite Difference Scheme for Time-Dependent Singularly Perturbed Convection-Diffusion Equations on Non-Uniform Mesh

10.1080/15502287.2011.564264 ◽

2011 ◽

Vol 12 (3) ◽

pp. 150-159

Author(s):

Mohan K. Kadalbajoo ◽

Ashish Awasthi

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Uniform Mesh ◽

Convection Diffusion ◽

Upwind Finite Difference

Robust convergence of a compact fourth-order finite difference scheme for reaction–diffusion problems

Numerische Mathematik ◽

10.1007/s00211-008-0184-4 ◽

2008 ◽

Vol 111 (2) ◽

pp. 239-249 ◽

Cited By ~ 8

Author(s):

Torsten Linß

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Reaction Diffusion ◽