Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 25, Issue 2, Pages 494-506Publisher
WILEY-BLACKWELL
DOI: 10.1002/num.20357
Keywords
collocation; radial basis functions (RBFs); thin plate splines (TPS); two-dimensional linear hyperbolic equation; two-dimensional telegraph equation
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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
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