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 ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Source Terms

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Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction–diffusion equations having discontinuous source terms

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.106232 ◽

2022 ◽

pp. 106232

Author(s):

S. Chandra Sekhara Rao ◽

Abhay Kumar Chaturvedi

Keyword(s):

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Computational Technique ◽

Source Terms

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

International Journal for Computational Methods in Engineering Science and Mechanics ◽

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 ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Uniform Mesh ◽

Convection Diffusion ◽

Upwind Finite Difference

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

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.02.050 ◽

2010 ◽

Vol 216 (5) ◽

pp. 1478-1488 ◽

Cited By ~ 10

Author(s):

C. Clavero ◽

J.L. Gracia

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Uniform Convergence ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Problems

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A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22732 ◽

2020 ◽

Author(s):

Kamalesh Kumar ◽

Pramod Chakravarthy Podila

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Two Dimensional ◽

Convection Diffusion

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The Error Analysis of Finite Difference Approximation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations with Discontinuous Source Term

Finite Difference Methods. Theory and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-030-11539-5_18 ◽

2019 ◽

pp. 175-184

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Source Term ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Finite Difference Approximation ◽

Diffusion Equations ◽

Difference Approximation ◽

Discontinuous Source Term

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Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations

Computing ◽

10.1007/s00607-006-0215-x ◽

2006 ◽

Vol 79 (1) ◽

pp. 23-32 ◽

Cited By ~ 27

Author(s):

T. Linß

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Upwind Finite Difference

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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 ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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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 ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Third Order ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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A robust finite difference scheme for strongly coupled systems of singularly perturbed convection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22188 ◽

2017 ◽

Vol 34 (1) ◽

pp. 121-144 ◽

Cited By ~ 1

Author(s):

Po-Wen Hsieh ◽

Suh-Yuh Yang ◽

Cheng-Shu You

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Coupled Systems ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Strongly Coupled ◽

Convection Diffusion

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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 ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Diffusion Problem ◽

High Order ◽

Singularly Perturbed ◽

Interior Layer ◽

High Order Finite Difference

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