AN EFFICIENT SECOND-ORDER NON-ITERATIVE FINITE DIFFERENCE SCHEME FOR HYPERBOLIC TELEGRAPH EQUATIONS

被引：0

作者：

Jun, Younbae ^{[1
]}

Hwang, Hongtaek ^{[1
]}

机构：

[1] Kumoh Natl Inst Technol, Dept Appl Math, Gumi 730701, Gyeongbuk, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2010年 / 17卷 / 04期

关键词：

second-order accuracy; domain decomposition; finite difference method; hyperbolic telegraph equation; unconditional stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a second-order prediction/correction (SPC) domain decomposition method for solving one dimensional linear hyperbolic partial differential equation u(tt) + a(x, t)u(t) + b(x, t)u = c( x, t) u(xx) + f(x, t). The method can be applied to variable coefficients problems and singular problems. Unconditional stability and error analysis of the method have been carried out. Numerical results support stability and efficiency of the method.

引用

页码：289 / 298

页数：10

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