A numerical solution of the generalized Burger’s–Huxley equation by spectral collocation method

摘要

In this paper, we present a new method for solving of the generalized Burger’s–Huxley equation by using the collocation formula for calculating spectral differentiation matrix for Chebyshev–Gauss–Lobatto points. Firstly, theory of application of pseudospectral method on Burger’s–Huxley equations presented. This method yields Burger’s–Huxley equation to a system of ordinary differential equations (ODEs). Secondly, we use fourth-order Runge–Kutta formula for the numerical integration of the system of ODE. The numerical results obtained by this way have been compared with the exact solution to show the efficiency of the method.