A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations
DOI:
https://doi.org/10.4208/eajam.300412.200612aKeywords:
Semi-adaptation, Crank-Nicolson method, quenching singularity, degeneracy, stability, monotonicity, convergence.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.