A numerical solution of the Korteweg-de Vries equation by pseudospectral method using Darvishi’s preconditionings

In this paper, the Korteweg-de Vries equation is solved by pseudospectral method. In pseudospectral method we have to use matrix vector multiplication to compute derivative(s) of the unknown function. To reduce roundoff error in this multiplication we use Darvishi’s preconditionings. The numerical results have been compared with the exact solution. They are in good agreement with each other because graphs of exact solution and numerical solutions are very similar.