Modified arc-length adaptive algorithms for degenerate reaction-diffusion equations.

DOI10.1016/S0096-3003(00)00158-2zbMath1036.65072MaRDI QIDQ1855166

Qin Sheng, Abdul Q. M. Khaliq

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

numerical exampledegenerationfinite differencereaction-diffusion equationssemi-discretizationarc-length adaptive algorithms

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (3)

An exploration of combined dynamic derivatives on time scales and their applications ⋮ Notes on the diamond-\(\alpha\) dynamic derivative on time scales ⋮ A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations

Cites Work

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• On the Solution of Convection-Diffusion Boundary Value Problems Using Equidistributed Grids
• Quenching for coupled semilinear reaction-diffusion problems
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• The method of fundamental solutions for non‐linear thermal explosions
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