Homotopy Perturbation Method of Delay Differential Equation Using He's Polynomial with Laplace Transform

摘要

abstract_textpIn this article, we report a combined concept of linearties and nonlinearties of homotopy perturbation method using Laplace transform with He's polynomials for solving complex delay differential equations which have a versatile application in signal processing, digital image processing, physics and applied sciences. Some examples are given to illustrate the ability and reliability of the proposed method, and the results are compared with VIM and exact solution after taking sum of first four iterations of approximate solution. Convergence analysis is discussed after implementing Banach fixed point theorem./p/abstract_text