Multistage Modied Sinc Method for Solving Nonlinear Dynamical Systems

Abstract The sinc method is known as an ecient numerical method for solving ordinary or partial dierential equations but the system of dierential equations has not been solved by this method which is the focus of this paper. We introduce a modied version of sinc method namely multistage modied sinc method(MMSM) for solving these systems.We illustrate that the proposed method is able to solve non-simple system while Runge-kutta method(RKM) has dicultly 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. Moreover, Due to the great attention to mathematical models in disease, the detailed stability analysis and numerical experiments are given on the standard within-host virus infections model.