Exact and Approximate Analytic Solutions of the Jeffery-Hamel Flow Problem by the Duan-Rach Modified Adomian Decomposition Method

Lazhar Bougoffa; Samy Mziou; Randolph C. Rach

doi:10.3846/13926292.2016.1145152

Mathematical Modelling and Analysis (Mar 2016)

Exact and Approximate Analytic Solutions of the Jeffery-Hamel Flow Problem by the Duan-Rach Modified Adomian Decomposition Method

Lazhar Bougoffa,
Samy Mziou,
Randolph C. Rach

Affiliations

Lazhar Bougoffa: Al Imam Mohammad Ibn Saud Islamic University (IMSIU) Faculty of Science, Department of Mathematics, P.O. Box 90950, 11623 Riyadh, Saudi Arabia
Samy Mziou: Al Imam Mohammad Ibn Saud Islamic University (IMSIU) Faculty of Science, Department of Mathematics, P.O. Box 90950, 11623 Riyadh, Saudi Arabia
Randolph C. Rach: The George Adomian Center for Applied Mathematics 316 South Maple Street, 49057-1225 Hartford, MI, USA

DOI: https://doi.org/10.3846/13926292.2016.1145152
Journal volume & issue: Vol. 21, no. 2

Abstract

Read online

This paper aims to find the exact solution in an implicit form for the wellknown nonlinear boundary value problem, namely the MHD Jeffery-Hamel problem, which can be described as the flow between two planes that meet at an angle. Also, two accurate approximate analytic solutions (series solution) are obtained by the variation of the power series method (VPS) and the Duan-Rach modified Adomian decomposition method (DRMA).

Published in Mathematical Modelling and Analysis

ISSN: 1392-6292 (Print); 1648-3510 (Online)
Publisher: Vilnius Gediminas Technical University
Country of publisher: Lithuania
LCC subjects: Science: Mathematics
Website: https://journals.vilniustech.lt/index.php/MMA

About the journal

Abstract

Keywords