Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh

DOI10.1016/j.camwa.2017.12.013zbMath1409.65052OpenAlexW2782306952MaRDI QIDQ1732498

Abhishek Das, Srinivasan Natesan

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.12.013

zbMATH Keywords

uniform convergencefinite difference schemefractional-step methodpiecewise-uniform Shishkin meshesRichardson extrapolation techniquesingularly perturbed 2D parabolic convection-diffusion problems

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Cites Work

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• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem

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