A numerical solution of Burgers’ equation by pseudospectral method and Darvishi’s preconditioning

摘要

In this paper, we solve the Burgers’ equation by pseudospectral method. This equation is one-dimensional quasilinear partial differential equation. To reduce round-off error of pseudospectral method we use Darvishi’s preconditioning. The numerical results obtained by this method, for different values of viscosity, have been compared with the exact solution. It was seen that they were in good agreement with each other, because norm infinity of error is very small.