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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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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A finite element analysis of a coupled system of singularly perturbed reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00955-4 ◽

2004 ◽

Vol 148 (3) ◽

pp. 869-880 ◽

Cited By ~ 10

Author(s):

Torsten Linß ◽

Niall Madden

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Element Analysis

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Robust computational methods for a coupled system of singularly perturbed reaction-diffusion equations with discontinuous source term

Journal of Modern Methods in Numerical Mathematics ◽

10.20454/jmmnm.2015.994 ◽

2015 ◽

Vol 6 (2) ◽

pp. 64 ◽

Cited By ~ 1

Author(s):

Mahabub Basha Pathan ◽

Shanthi Vembu

Keyword(s):

Computational Methods ◽

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Discontinuous Source Term

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An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.01.047 ◽

2011 ◽

Vol 235 (11) ◽

pp. 3342-3354 ◽

Cited By ~ 12

Author(s):

S. Chandra Sekhara Rao ◽

Sunil Kumar

Keyword(s):

Domain Decomposition ◽

Fourth Order ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Uniformly Convergent

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Analysis of a FEM for a coupled system of singularly perturbed reaction–diffusion equations

Numerical Algorithms ◽

10.1007/s11075-008-9228-1 ◽

2008 ◽

Vol 50 (3) ◽

pp. 283-291 ◽

Cited By ~ 5

Author(s):

Torsten Linß

Keyword(s):

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations

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Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-642-41515-9_50 ◽

2013 ◽

pp. 445-453 ◽

Cited By ~ 3

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Discontinuous Source Term ◽

Interior Layers

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Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction–diffusion equations with boundary and interior layers

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.11.021 ◽

2019 ◽

Vol 352 ◽

pp. 223-239 ◽

Cited By ~ 1

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Uniform Convergence ◽

Numerical Method ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Interior Layers ◽

Boundary And Interior Layers

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A Uniformly Convergent Numerical Scheme for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2020.1740255 ◽

2020 ◽

Vol 41 (10) ◽

pp. 1172-1189 ◽

Cited By ~ 1

Author(s):

Gautam Singh ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Uniformly Convergent

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A coupled system of singularly perturbed parabolic reaction-diffusion equations

Advances in Computational Mathematics ◽

10.1007/s10444-008-9086-3 ◽

2008 ◽

Vol 32 (1) ◽

pp. 43-61 ◽

Cited By ~ 20

Author(s):

J. L. Gracia ◽

F. J. Lisbona ◽

E. O’Riordan

Keyword(s):

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations

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The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf01003556 ◽

1995 ◽

Vol 46 (3) ◽

pp. 366-383 ◽

Cited By ~ 14

Author(s):

Yoshitaka Uda

Keyword(s):

Critical Exponent ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Type Reaction ◽

Weakly Coupled ◽

Weakly Coupled System

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