Three-layer finite difference method for solving linear differential algebraic systems of partial differential equations

被引：0
|
作者：
S. V. Gaidomak
机构：
[1] Russian Academy of Sciences,Institute of Dynamic Systems and Control Theory, Siberian Branch
来源：
Computational Mathematics and Mathematical Physics | 2009年 / 49卷
关键词：
differential algebraic systems of partial differential equations; three-layer finite difference method; stability; convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A boundary value problem is examined for a linear differential algebraic system of partial differential equations with a special structure of the associate matrix pencil. The use of an appropriate transformation makes it possible to split such a system into a system of ordinary differential equations, a hyperbolic system, and a linear algebraic system. A three-layer finite difference method is applied to solve the resulting problem numerically. A theorem on the stability and the convergence of this method is proved, and some numerical results are presented.
引用
收藏
页码：1521 / 1534
页数：13
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