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

被引：17
|
作者：
Sheng, Qin [1 ]
Khaliq, A. Q. M. [2 ]
机构：
[1] Baylor Univ, Dept Math, Ctr Astrophys Space Phys & Engn Res, Waco, TX 76798 USA
[2] Middle Tennessee State Univ, Ctr Computat Sci, Dept Math Sci, Murfreesboro, TN 37132 USA
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2012年 / 2卷 / 03期
关键词：
Semi-adaptation; Crank-Nicolson method; quenching singularity; degeneracy; stability; monotonicity; convergence;
D O I：
10.4208/eajam.300412.200612a
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：185 / 203
页数：19
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