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

S. Chandra Sekhara Rao; Sunil Kumar

doi:10.1016/j.cam.2011.01.047

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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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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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 robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems

Journal of Mathematical Chemistry ◽

10.1007/s10910-019-01026-z ◽

2019 ◽

Vol 57 (5) ◽

pp. 1557-1578 ◽

Cited By ~ 1

Author(s):

Sunil Kumar ◽

Joginder Singh ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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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 DECOMPOSITION METHOD FOR SINGULARLY PERTURBED REACTION-DIFFUSION EQUATIONS

Recent Advances in Numerical Methods and Applications II ◽

10.1142/9789814291071_0055 ◽

1999 ◽

Author(s):

IRINA V. TSELISHCHEVA ◽

GRIGORII I. SHISHKIN

Keyword(s):

Decomposition Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations

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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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Overlapping domain decomposition method for singularly perturbed third order reaction-diffusion problems

Ain Shams Engineering Journal ◽

10.1016/j.asej.2016.09.018 ◽

2018 ◽

Vol 9 (4) ◽

pp. 2171-2181

Author(s):

J. Christy Roja ◽

A. Tamilselvan

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Order Reaction ◽

Singularly Perturbed ◽

Third Order ◽

Overlapping Domain Decomposition ◽

Diffusion Problems

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Uniformly convergent novel finite difference methods for singularly perturbed reaction–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22405 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2120-2148 ◽

Cited By ~ 4

Author(s):

Xuefei He ◽

Kun Wang

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Uniformly Convergent ◽

Difference Methods

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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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