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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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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A high-order finite difference scheme for a singularly perturbed reaction-diffusion problem with an interior layer

Advances in Difference Equations ◽

10.1186/s13662-017-1268-1 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Zhongdi Cen ◽

Anbo Le ◽

Aimin Xu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Interior Layer ◽

High Order Finite Difference

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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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A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with neumann boundary condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21726 ◽

2012 ◽

Vol 29 (3) ◽

pp. 778-798 ◽

Author(s):

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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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 ◽

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A compact finite difference scheme for 2D reaction–diffusion singularly perturbed problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.04.056 ◽

2006 ◽

Vol 192 (1) ◽

pp. 152-167 ◽

Author(s):

J.L. Gracia ◽

C. Clavero

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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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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A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1597972 ◽

2019 ◽

Vol 97 (4) ◽

pp. 875-905 ◽

Author(s):

Maneesh Kumar Singh ◽

Srinivasan Natesan

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Convection Diffusion ◽

Perturbed System ◽

Diffusion Problems

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A high-order finite difference scheme for a singularly perturbed fourth-order ordinary differential equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1339869 ◽

2017 ◽

Vol 95 (9) ◽

pp. 1806-1819 ◽

Author(s):

Zhongdi Cen ◽

Aimin Xu ◽

Anbo Le

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Order Ordinary Differential Equation ◽

High Order Finite Difference

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Robust convergence of a compact fourth-order finite difference scheme for reaction–diffusion problems

Numerische Mathematik ◽

10.1007/s00211-008-0184-4 ◽

2008 ◽

Vol 111 (2) ◽

pp. 239-249 ◽

Author(s):

Torsten Linß

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Diffusion Problems

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