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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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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Maximum Norm a Posteriori Error Estimation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations

Numerical Analysis and Applicable Mathematics ◽

10.36686/ariviyal.naam.2020.01.01.003 ◽

2020 ◽

Vol 1 (1) ◽

Author(s):

Ying Liang ◽

Xiaobing Bao ◽

Li-Bin Liu

Keyword(s):

Error Estimation ◽

Reaction Diffusion ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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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 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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Two-grid algorithm for a system of singularly perturbed reaction-diffusion equations on Shishkin mesh

Journal of Physics Conference Series ◽

10.1088/1742-6596/1546/1/012104 ◽

2020 ◽

Vol 1546 ◽

pp. 012104

Author(s):

S V Tikhovskaya ◽

M F Korbut

Keyword(s):

Reaction Diffusion ◽

Shishkin Mesh ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Grid Algorithm

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A Nonlinear Singularly Perturbed Problem for Reaction Diffusion Equations with Boundary Perturbation

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-005-0220-4 ◽

2005 ◽

Vol 21 (1) ◽

pp. 101-104 ◽

Cited By ~ 20

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Singularly Perturbed Problem ◽

Boundary Perturbation

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Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2165 ◽

2007 ◽

Vol 74 (1) ◽

pp. 138-158 ◽

Cited By ~ 28

Author(s):

Q. Yu ◽

F. Liu ◽

V. Anh ◽

I. Turner

Keyword(s):

Linear Space ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Reaction Diffusion ◽

Space Time ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Adomian Decomposition ◽

Non Linear ◽

Fractional Reaction

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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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Numerical Method for a System of Singularly Perturbed Reaction Diffusion Equations with Integral Boundary Conditions

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0682-3 ◽

2019 ◽

Vol 5 (3) ◽

Author(s):

Velusamy Raja ◽

Ayyadurai Tamilselvan

Keyword(s):

Boundary Conditions ◽

Numerical Method ◽

Integral Boundary Conditions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Integral Boundary

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An Explicit Theory for Pulses in Two Component, Singularly Perturbed, Reaction–Diffusion Equations

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-013-9325-2 ◽

2013 ◽

Vol 27 (3-4) ◽

pp. 555-595 ◽

Cited By ~ 15

Author(s):

Arjen Doelman ◽

Frits Veerman

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Two Component ◽

Explicit Theory

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