A new accurate procedure for solving nonlinear delay differential equations

Abstract

In this paper, a modified algorithm based on the residual power series procedure is employed to find an accurate approximate solution for nonlinear delay differential equations (NDDEs). This modification is considered as a powerful procedure for improving the efficiency of the residual power series method (RPSM) by using the Laplace transform and Pade approximant to be an effective procedure that has the ability to give accurate results ´ closed to the exact solutions with easy computational work. Some numerical examples are presented to check the validity and the applicability of this modification and the results obtained are compared by the results obtained by other method in literature to illustrate and prove it is efficiency and reliability for solving this kind of equations.