A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations

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Abstract

This article discusses key characteristics of a semi-adaptive finite difference method for solving singular degenerate reaction-diffusion equations. Numerical stability, monotonicity, and convergence are investigated. Numerical experiments illustrate the discussion. The study reconfirms and improves several of our earlier results.

Keywords:

Semi-adaptation Crank-Nicolson method quenching singularity degeneracy stability monotonicity convergence.
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DOI

10.4208/eajam.300412.200612a