期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 24, 期 4, 页码 1080-1093出版社
WILEY-BLACKWELL
DOI: 10.1002/num.20306
关键词
collocation; radial basis function (RBF); second-order hyperbolic telegraph equation; thin plate splines (TPS)
Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion for such branches of sciences. In this article, we propose a numerical scheme to solve the one-dimensional hyperbolic telegraph equation using collocation points and approximating the solution using thin plate splines radial basis function. The scheme works in a similar fashion as finite difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme. (C) 2007 Wiley Periodicals, Inc.
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