A numerical method for solving partial differential algebraic equations

被引：1

作者：

Nguyen Khac Diep ^{[1
]}

Chistyakov, V. F. ^{[2
]}

机构：

[1] Natl Res Irkutsk State Tech Univ, Irkutsk 664074, Russia

[2] Russian Acad Sci, Siberian Branch, Inst Syst Dynam & Control Theory, Irkutsk 664033, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 06期

关键词：

partial differential algebraic equations; hyperbolic equations; singular systems; index; implicit difference schemes; INDEX;

D O I：

10.1134/S0965542513060134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear systems of partial differential equations with constant coefficient matrices are considered. The matrices multiplying the derivatives of the sought vector function are assumed to be singular. The structure of solutions to such systems is examined. The numerical solution of initialboundary value problems for such equations by applying implicit difference schemes is discussed.

引用

页码：766 / 776

页数：11

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