TY - EJOU AU - Wang, Fuzhang AU - Hou, Enran AU - Ahmad, Imtiaz AU - Ahmad, Hijaz AU - Gu, Yan TI - An Efficient Meshless Method for Hyperbolic Telegraph Equations in (1 + 1) Dimensions T2 - Computer Modeling in Engineering \& Sciences PY - 2021 VL - 128 IS - 2 SN - 1526-1506 AB - Numerical solutions of the second-order one-dimensional hyperbolic telegraph equations are presented using the radial basis functions. The purpose of this paper is to propose a simple novel direct meshless scheme for solving hyperbolic telegraph equations. This is fulfilled by considering time variable as normal space variable. Under this scheme, there is no need to remove time-dependent variable during the whole solution process. Since the numerical solution accuracy depends on the condition of coefficient matrix derived from the radial basis function method. We propose a simple shifted domain method, which can avoid the full-coefficient interpolation matrix easily. Numerical experiments performed with the proposed numerical scheme for several second-order hyperbolic telegraph equations are presented with some discussions. KW - Radial basis functions; telegraph equation; shifted domain method; meshless method DO - 10.32604/cmes.2021.014739