Use of the Daftardar-Jafari polynomials in Optimal Homotopy Asymptotic Method for the solution of one Dimensional Heat and Advection-Diffusion Equations

Abstract

In this paper Daftardar-Jafari (DJ) polynomials have been introduced in the Homotopy of Optimal Homotopy Asymptotic Method (OHAM) for finding the approximate solution of one dimensional heat and advection-diffusion equations. The results of proposed method are compared with exact solution to find absolute errors. The obtained results reveal that the proposed scheme is more reliable, explicit and effective.