In this paper the solution of a generalized Hirota–Satsuma Korteweg–deVires (KdV) equation using a
pseudospectral method is presented.To reduce roundoff error we use some preconditionings. Firstly, we
discretize the equation in space to obtain a system of time-dependent ordinary differential equations.
Secondly, we solve the obtained system of ordinary differential equations using the fourth-order
Runge–Kutta method. The method works very well because the absolute errors are very small.
