Spectral collocation method and Darvishi's preconditionings to solve the generalized Burgers-Huxley equation

摘要

In this paper, a numerical solution of the generalized Burgers-Huxley equation is presented. This is the application of spectral collocation method. To reduce roundoff error in this method we use Darvishi's preconditionings. The numerical results obtained by this method have been compared with the exact solution. It can be seen that they are in a good agreement with each other, because errors are very small and figures of exact and numerical solutions are very similar.