New fourth-order splitting methods for two-dimensional evolution equations

被引：0
|
作者：
N. V. Shirobokov
机构：
[1] Southern Ural State University,
来源：
Computational Mathematics and Mathematical Physics | 2009年 / 49卷
关键词：
two-dimensional evolution equations; Runge-Kutta methods; diagonal implicit methods; stiff problems; splitting methods; Burgers’ equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
New second- and third-order splitting methods are proposed for partial differential equations of the evolution type in a two-dimensional space. The methods are derived as based on diagonal implicit techniques used in the numerical solution to stiff ordinary differential equations. The methods are absolutely and unconditionally stable. Test computations are presented.
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页码：672 / 675
页数：3
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