Sinc Methods for Solving Non-linear Systems of Differential Equations

Sinc methods for the numerical solution of ordinary and partial differential equations have been extensively studied and found to be a very effective technique. In this article we will introduce a modied version of sinc method namely multistage modied sinc method (MMSM) for solving non-linear dynamical systems. We illustrate that the proposed method is able to solve non-simple system while Runge-kutta method (RKM) has diffcultly with these systems. It is shown that the MMSM has the advantage of giving an analytical form of the solution within each time interval which is not possible in purely numerical techniques like RKM.