A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions

Abstract

In this research, linear combination of moving least square (MLS) and local radial basis functions(LRBFs)is considered within the framework of meshless method to solve two-dimensional hyperbolic telegraph equation.Besides, differential quadrature method (DQM) is employed to discretize temporal derivatives. Furthermore, a control parameter is introduced and optimized to achieve minimum errors via an experimental approach.Illustrative examples are provided to demonstrate applicability and efficiency of the method. The results prove the superiority of this method overusing MLS and LRBF individually.