University of Tabriz Computational Methods for Differential Equations 2345-3982 10 4 2022 10 01 A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions 969 985 13341 10.22034/cmde.2021.42440.1829 EN Sepideh Niknam Department of Applied Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran. Hojatollah Adibi Department of Applied Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran. Journal Article 2020 10 23 In this research, a linear combination of moving least square (MLS) and local radial basis functions (LRBFs) is considered within the framework of the meshless method to solve the two-dimensional hyperbolic telegraph equation. Besides, the 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 the applicability and efficiency of the method. The results prove the superiority of this method over using MLS and LRBF individually.  https://cmde.tabrizu.ac.ir/article_13341_1646dd14e487b5950137cd8ab88da39f.pdf