A fitted mesh robust numerical method and analysis for the singularly perturbed parabolic PDEs with a degenerate coefficient

DOI10.1016/j.rinam.2024.100519MaRDI QIDQ6657399

Fasika Wondimu Gelu, Hassan J. Al Salman, Ahmed A. Al Ghafli

Publication date: 6 January 2025

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

zbMATH Keywords

Shishkin meshdegenerate coefficientcentral finite difference numerical methodleft layer

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Singularity in context of PDEs (35A21)

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