Numerical solution of singularly perturbed linear parabolic system with discontinuous source term

DOI10.1016/j.apnum.2018.01.006zbMath1382.65255OpenAlexW2790592367MaRDI QIDQ1696843

Sheetal Chawla, S. Chandra Sekhara Rao

Publication date: 15 February 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.01.006

zbMATH Keywords

convergencesingular perturbationShishkin meshcoupled systemnumerical experimentdiscontinuous source termparameter-uniform convergenceinterior layersparabolic reaction-diffusion equationsbackward-Euler scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with low regular coefficients and/or low regular data (35R05) 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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• High order parameter-robust numerical method for time dependent singularly perturbed reaction-diffusion problems
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• Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term
• Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system
• Parameter uniform approximations for time‐dependent reaction‐diffusion problems

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