Meshless Method for the Numerical Solution of Coupled Burgers Equation

Abstract

The development and interest in numerical techniques for obtaining approximate solutions to partial differential equations have increased very much in the last decades. Among these are meshless methods. Recently radial base functions have been used in meshless methods applied to numerical solutions of partial differential equations, pioneers' works being those of Kansa, Fasshauer, Wendland and Bohamid among others. In this paper, we employ the method, using two RBFs, TPS and MQ, to obtain a numerical solution to coupled Burgers equation. The development and interest in numerical techniques for obtaining approximate solutions to partial differential equations have increased very much in the last decades. Among these are meshless methods. Recently radial base functions have been used in meshless methods applied to numerical solutions of partial differential equations, pioneers' works being those of Kansa, Fasshauer, Wendland and Bohamid among others. In this paper, we employ the method, using two RBFs, TPS and MQ, to obtain a numerical solution to coupled Burgers equation.