Abstract
In this paper, we solve system of time dependent partial differential equations (PDEs) by using pseudospectral method and Darvishi’s preconditioning. To reduce round-off error in spectral collocation method we use Darvishi’s preconditioning. Firstly, theory of application of spectral collocation method on system of time dependent partial differential equations presented. This method yields a system of ordinary differential equations (ODEs). Secondly, we use fourth-order Runge–Kutta formula for the numerical integration of the system of ODE. We consider some examples to illustrate the performance of the method described.
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