Abstract

This paper represents a new approach of the radial basis functions method for handling a class of the second-order hyperbolic telegraph equation. In this approach, we decompose the domain of the problem to a few sub domains as vertically or horizontally. The proposed approach is capable of reducing the size of calculations and easily overcomes the difficulty of solving complicated algebraic systems in large scale problems. To confirm the accuracy of the proposed approach, several examples are presented. The results of numerical experiments are presented with and without decomposition method and, will be compared with analytical solutions to confirm the convergence of the proposed method, good accuracy and the low computational time.

Key words: Radial basis functions, telegraph equations, decomposition domain.