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

A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations
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Year:    2012

East Asian Journal on Applied Mathematics, Vol. 2 (2012), Iss. 3 : pp. 185–203

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.300412.200612a

East Asian Journal on Applied Mathematics, Vol. 2 (2012), Iss. 3 : pp. 185–203

Published online:    2012-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

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

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