Additive schemes based domain decomposition algorithm for solving singularly perturbed parabolic reaction-diffusion systems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01457-y ◽

2021 ◽

Vol 40 (3) ◽

Author(s):

Aakansha ◽

Joginder Singh ◽

Sunil Kumar

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Algorithm ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Additive Schemes ◽

Diffusion Systems ◽

Domain Decomposition Algorithm

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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 ◽

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 robust overlapping Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.10.053 ◽

2014 ◽

Vol 261 ◽

pp. 127-138 ◽

Author(s):

Sunil Kumar ◽

S. Chandra Sekhara Rao

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Algorithm ◽

Singularly Perturbed ◽

Time Dependent ◽

Domain Decomposition Algorithm ◽

Diffusion Problems ◽

Overlapping Schwarz

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On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00127-7 ◽

1998 ◽

Vol 98 (2) ◽

pp. 213-232 ◽

Author(s):

Igor Boglaev

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Decomposition Algorithm ◽

Singularly Perturbed ◽

Domain Decomposition Algorithm

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A High Order Accurate Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems

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

10.1007/978-3-030-11539-5_56 ◽

2019 ◽

pp. 484-492

Author(s):

Joginder Singh ◽

Sunil Kumar ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Overlapping Domain Decomposition

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Breathing pulses in singularly perturbed reaction-diffusion systems

Nonlinearity ◽

10.1088/0951-7715/28/7/2211 ◽

2015 ◽

Vol 28 (7) ◽

pp. 2211-2246 ◽

Author(s):

Frits Veerman

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Robust exponential convergence of hp FEM for singularly perturbed reaction-diffusion systems with multiple scales

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drs013 ◽

2012 ◽

Vol 33 (2) ◽

pp. 609-628 ◽

Author(s):

J. M. Melenk ◽

C. Xenophontos ◽

L. Oberbroeckling

Keyword(s):

Multiple Scales ◽

Exponential Convergence ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-006-0304-9 ◽

2006 ◽

Vol 22 (2) ◽

pp. 277-286 ◽

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Initial Boundary Value ◽

Nonlocal Reaction

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Singularly perturbed partly dissipative reaction–diffusion systems in case of exchange of stabilities

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00286-x ◽

2002 ◽

Vol 273 (1) ◽

pp. 217-235 ◽

Author(s):

V.F. Butuzov ◽

N.N. Nefedov ◽

K.R. Schneider

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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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 ◽

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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Parallel implementation of a monotone domain decomposition algorithm for nonlinear reaction-diffusion problems

ANZIAM Journal ◽

10.21914/anziamj.v46i0.960 ◽

2005 ◽

Vol 46 ◽

pp. 290

Author(s):

M. P. Hardy ◽

I. Boglaev

Keyword(s):

Domain Decomposition ◽

Parallel Implementation ◽

Reaction Diffusion ◽

Decomposition Algorithm ◽

Nonlinear Reaction ◽

Domain Decomposition Algorithm ◽

Diffusion Problems

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