Parameter-uniformly convergent exponential spline difference scheme for singularly perturbed semilinear reaction–diffusion problems

Nonlinear Analysis ◽

10.1016/j.na.2009.01.210 ◽

2009 ◽

Vol 71 (12) ◽

pp. e1579-e1588 ◽

Author(s):

S. Chandra Sekhara Rao ◽

Mukesh Kumar

Keyword(s):

Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Exponential Spline ◽

Uniformly Convergent ◽

Diffusion Problems

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A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction–diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.10.072 ◽

2012 ◽

Vol 218 (9) ◽

pp. 5067-5080 ◽

Author(s):

C. Clavero ◽

J.L. Gracia

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Problems

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An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem

Numerische Mathematik ◽

10.1007/s002110050130 ◽

1995 ◽

Vol 70 (4) ◽

pp. 487-500 ◽

Author(s):

Guangfu Sun ◽

Martin Stynes

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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High-Order Compact Finite-Difference Scheme for Singularly-Perturbed Reaction-Diffusion Problems on a New Mesh of Shishkin Type

Journal of Optimization Theory and Applications ◽

10.1007/s10957-009-9547-y ◽

2009 ◽

Vol 143 (1) ◽

pp. 123-147 ◽

Author(s):

V. Kumar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Diffusion Problems

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Second Order Uniformly Convergent Numerical Method for a Coupled System of Singularly Perturbed Reaction-Diffusion Problems with Discontinuous Source Term

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014 ◽

10.1007/978-3-319-25727-3_18 ◽

2015 ◽

pp. 233-244 ◽

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Numerical Method ◽

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Second Order ◽

Singularly Perturbed ◽

Discontinuous Source Term ◽

Uniformly Convergent ◽

Diffusion Problems

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A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/23.4.627 ◽

2003 ◽

Vol 23 (4) ◽

pp. 627-644 ◽

Author(s):

N. Madden

Keyword(s):

Numerical Method ◽

Reaction Diffusion ◽

Coupled System ◽

Singularly Perturbed ◽

Linear Reaction ◽

Uniformly Convergent ◽

Diffusion Problems

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A uniformly convergent difference scheme on a modified Shishkin mesh for the singularly perturbed reaction-diffusion boundary value problem

Journal of Modern Methods in Numerical Mathematics ◽

10.20454/jmmnm.2015.971 ◽

2015 ◽

Vol 6 (1) ◽

pp. 28

Author(s):

Vedad Pasic ◽

Enes Duvnjakovic ◽

Samir Karasuljic ◽

Helena Zarin

Keyword(s):

Boundary Value Problem ◽

Difference Scheme ◽

Boundary Value ◽

Reaction Diffusion ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Diffusion Boundary ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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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 ◽

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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Uniformly Convergent Finite Difference Schemes for Singularly Perturbed 1D Parabolic Reaction–Diffusion Problems

Lecture Notes in Computational Science and Engineering - BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods ◽

10.1007/978-3-642-19665-2_9 ◽

2011 ◽

pp. 75-83

Author(s):

C. Clavero ◽

J. L. Gracia

Keyword(s):

Finite Difference ◽

Reaction Diffusion ◽

Difference Schemes ◽

Singularly Perturbed ◽

Finite Difference Schemes ◽

Uniformly Convergent ◽

Diffusion Problems

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Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem

International Journal of Computer Mathematics ◽

10.1080/00207160903370172 ◽

2011 ◽

Vol 88 (1) ◽

pp. 196-206 ◽

Author(s):

Zhongdi Cen

Keyword(s):

Boundary Value Problem ◽

Difference Scheme ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Order Difference ◽

Uniformly Convergent

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Singularly perturbed reaction–diffusion problems on a k ‐star graph

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7749 ◽

2021 ◽

Author(s):

Vivek Kumar ◽

Günter Leugering

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Problems

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