期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 187, 期 2, 页码 1272-1276出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2006.09.057
关键词
second-order linear hyperbolic equation; damped wave equation; telegraph equation; explicit scheme; unconditionally stable; pade approximation
A few explicit difference schemes are discussed for the numerical solution of the linear hyperbolic equation u(u) + 2 alpha u(1) + beta(2)u = u(xx) + f(x, t), alpha > 0, beta > 0, in the region Omega = {(x, t)vertical bar a < x < b, t > 0} subject to appropriate initial and Dirichlet boundary conditions, where a and beta are real numbers. The proposed scheme is showed to be unconditionally stable, and numerical result is presented. (c) 2006 Elsevier Inc. All rights reserved.
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