期刊
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷 87, 期 10, 页码 2259-2267出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160802624133
关键词
linear hyperbolic equation; damped wave equation; telegraph equation; unconditionally stable; ADI compact difference scheme
资金
- National Natural Science Foundation of China (Tian-yuan Foundation) [10626044, 60673060]
We formulate a new alternating direction implicit compact scheme of O(T-2+h(4)) for the linear hyperbolic equation u(tt)+2 alpha u(t)+beta(2)u=u(xx)+u(yy)+f(x, y, t), 00 and beta >= 0 are real numbers. In this article, we show the method is unconditionally stable by the Von Neumann method. At last, numerical demonstrations are given to illustrate our result.
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