An Efficient Sumudu Decomposition Method to Solve System of Pantograph Equations

Abstract

This paper is the witness of the coupling of decomposition method with the efficient Sumudu transform known as Sumudu decomposition method to build up the exact solutions of the linear and nonlinear system of Pantograph model equations. Three mathematical models are tested to elucidate effectiveness of the method. The obtained numerical results re-confirm the potential of the proposed method. In nonlinear cases this method uses He’s Polynomials for solving the non-linear terms. It is observed that suggested scheme is highly reliable and may be extended to other highly nonlinear delay differential models.

Keywords: Decomposition method, Sumudu transform, System of multi-Pantograph delay differential equations, He’s polynomials