Use of the DAFTARDAR-JAFARI Polynomials in Optimal Homotopy Asymptotic Method for the Solution of One Dimensional Heat and Advection-diffusion Equations. | [Sindh University Research Journal • 2017]

Author(s):

1. S. SHAH: Department of Mathematic, Xian Jioatong University Xian,Shannxi,China

2. R. NAWAZ: Department of Mathematic, Islamia Collage University Peshawer,KP,Pakistan

3. M. ULLAH: Department of Mathematic, Islamia Collage University Peshawer,KP,PakistanD

4. J. ZADA: Department of Mathematic, Abdul Wali Khan University Mardan, KP, Pakistan

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.

Page(s): 163-170

DOI: DOI not available

Published: Journal: Sindh University Research Journal, Volume: 49, Issue: 1, Year: 2017

Keywords:

Optimal Homotopy Asymptotic Method with DJPolynomials OHAMDJ , heat equation , AdvectionDiffusion Equation

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