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

Published online by Cambridge University Press:  28 May 2015

Qin Sheng  and
A. Q. M. Khaliq
Qin Sheng*
Affiliation:
Department of Mathematics, Center for Astrophysics, Space Physics and Engineering Research, Baylor University, Waco, TX 76798-7328, USA
A. Q. M. Khaliq
Affiliation:
Department of Mathematical Sciences, Center for Computational Science, Middle Tennessee State University, Murfreesboro, TN 37132, USA
*
Corresponding author. Email: Qin_Sheng@baylor.edu
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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

65M0665M1265M5065Z0535K20Semi-adaptationCrank-Nicolson methodquenching singularitydegeneracystabilitymonotonicityconvergence
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 2 , Issue 3 , August 2012 , pp. 185 - 203
Copyright
Copyright © Global-Science Press 2012

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