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

作者：Dehghan Mehdi^*; Shokri Ali

来源：Numerical Methods for Partial Differential Equations, 2009, 25(2): 494-506.

DOI：10.1002/num.20357

• collocation
• radial basis functions (RBFs)
• thin plate splines (TPS)
• two-dimensional linear hyperbolic equation
• two-dimensional telegraph equation

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.

• 出版日期2009-3