New approach for the Duffing equation involving both integral and non-integral forcing terms

Abstract

Duffing equations have a wide range of application in science and engineering. In this research, the sinc-collocation method is presented for solving nonlinear Duffing equation involving both integral and non-integral forcing terms. The properties of sinc functions required for our subsequent development are given. These properties are then used to reduce the computation of solution of Duffing equation to some algebraic equations. It is well known that the sinc procedure converges to the solution at an exponential rate. Numerical examples are included to demonstrate the validity and applicability of the new technique.