Difference Scheme of the Solution Decomposition Method for a Singularly Perturbed Parabolic Convection-Diffusion Equation

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_33 ◽

2012 ◽

pp. 303-311

Author(s):

L. Shishkina ◽

G. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Decomposition Method ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

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Difference scheme for a singularly perturbed parabolic convection–diffusion equation in the presence of perturbations

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542515110159 ◽

2015 ◽

Vol 55 (11) ◽

pp. 1842-1856 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

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Stability of a standard finite difference scheme for a singularly perturbed convection-diffusion equation

Doklady Mathematics ◽

10.1134/s1064562413010390 ◽

2013 ◽

Vol 87 (1) ◽

pp. 107-109 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

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A finite difference scheme on a priori adapted grids for a singularly perturbed parabolic convection-diffusion equation

Difference Methods for Singular Perturbation Problems - Monographs & Surveys in Pure & Applied Math ◽

10.1201/9780203492413.ch11 ◽

2008 ◽

pp. 289-308

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

A Priori ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

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Computer difference scheme for a singularly perturbed convection-diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542514080120 ◽

2014 ◽

Vol 54 (8) ◽

pp. 1221-1233 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

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Standard finite difference scheme for a singularly perturbed elliptic convection–diffusion equation on a rectangle under computer perturbations

Doklady Mathematics ◽

10.1134/s1064562416020150 ◽

2016 ◽

Vol 93 (2) ◽

pp. 179-182

Author(s):

G. I. Shishkin

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

Download Full-text

A finite difference scheme on a priori adapted grids for a singularly perturbed parabolic convection-diffusion equation

Difference Methods for Singular Perturbation Problems ◽

10.1201/9780203492413-18 ◽

2008 ◽

pp. 304-323

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

A Priori ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

Download Full-text

Standard Difference Scheme for a Singularly Perturbed Convection-Diffusion Equation in the Presence of Perturbations

Springer Proceedings in Mathematics & Statistics - Advances in Applied Mathematics ◽

10.1007/978-3-319-06923-4_5 ◽

2014 ◽

pp. 41-55 ◽

Author(s):

G. Shishkin ◽

L. Shishkina ◽

A. Petrenko

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Standard Difference

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Computer difference scheme for a singularly perturbed elliptic convection–diffusion equation in the presence of perturbations

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542517050128 ◽

2017 ◽

Vol 57 (5) ◽

pp. 815-832 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

Download Full-text

A finite difference scheme of improved accuracy on a priori adapted grids for a singularly perturbed parabolic convection-diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511100137 ◽

2011 ◽

Vol 51 (10) ◽

pp. 1705-1728 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

A Priori ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Improved Accuracy

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A method of asymptotic constructions with improved accuracy for a quasilinear singularly perturbed parabolic convection-diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542506020060 ◽

2006 ◽

Vol 46 (2) ◽

pp. 231-250

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Improved Accuracy

Download Full-text