A meshless collocation approach with barycentric rational interpolation for two-dimensional hyperbolic telegraph equation

摘要

In this paper, a meshless collocation method with barycentric rational interpolation is proposed to find and represent the solution of the two-dimensional hyperbolic telegraph equation. Barycentric rational interpolation functions are used for spatial variable and its partial derivatives, which produce a system of second order ordinary differential equations based on collocation method. The resulting system has been solved by central differential scheme. The accuracy and efficiency of proposed approach are demonstrated by several numerical experiments, where comparison is made with some earlier work. It is clear that the proposed method produces good results in comparison with those available in literature. Moreover, CPU time taken in our computation is much less. It is proved that the proposed method is very simple, fast and accurate.