A Meshless Method for Numerical Solution of a Linear Hyperbolic Equation with Variable Coefficients in Two Space Dimensions

被引：75

作者：

Dehghan, Mehdi ^{[1
]}

Shokri, Ali ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 02期

关键词：

collocation; radial basis functions (RBFs); thin plate splines (TPS); two-dimensional linear hyperbolic equation; two-dimensional telegraph equation; RADIAL BASIS FUNCTIONS; COMPUTATIONAL FLUID-DYNAMICS; DATA APPROXIMATION SCHEME; GORDON EQUATION; COLLOCATION; SUBJECT; SPECIFICATIONS; MULTIQUADRICS;

D O I：

10.1002/num.20357

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A meshless method is proposed for the numerical solution of the two space dimensional linear hyperbolic equation subject to appropriate initial and Dirichlet boundary conditions. The new developed scheme uses collocation points and approximates the solution employing thin plate splines radial basis functions. Numerical results are obtained for various cases involving variable, singular and constant coefficients, and are compared with analytical solutions to confirm the good accuracy of the presented scheme. (C) 2008 Wiley Periodicals. Inc. Numer Methods Partial Differential Eq 25: 494-506, 2009

引用

页码：494 / 506

页数：13

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