The differential transform method solution for nonlinear duffing equation involving both integral and non-integral forcing terms

Abstract

In this paper, the differential transform method is used for solving nonlinear Duffing equation involving both integral and non-integral forcing terms. The differential transform of nonlinear terms are computed using Adomian polynomials. The proposed approach reduces the considered problem to a single nonlinear algebraic equation in one unknown parameter. The numerical examples illustrate the simplicity of the proposed technique and show good agreement between the obtained and the exact solutions.