Approximate analytical solution of the linear and nonlinear multi-pantograph delay differential equations

Abstract

In this paper, a combination of Laplace transform and variational iteration method are applied to get an approximate analytic solution for the multi-pantograph delay with higher order differential equations. Lagrange multiplier technique is constructed a correction functional which obtained by using Laplace transform with the variational theory. Numerical studies for the application of the present method for the considered problems are given and graphically illustrated, our proposed method is compared favorably with other methods. The simplicity and efficiency of the method.