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

This paper aims to find the exact solution in an implicit form for the well-known 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) a...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 21; no. 2; pp. 174 - 187
Main Authors Bougoffa, Lazhar, Mziou, Samy, Rach, Randolph C.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.03.2016
Vilnius Gediminas Technical University
Subjects
Aircraft detection
Approximation
Boundary value problems
Decomposition
Decomposition (Mathematics)
Duan-Rach modified Adomian decomposition method
exact solution
Exact solutions
Jeffery-Hamel problem
Mathematical analysis
Mathematical models
Mathematical research
Nonlinearity
power series
exact solution
Jeffery-Hamel problem
power series
Duan-Rach modified Adomian decomposition method
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ISSN1392-6292
1648-3510
DOI10.3846/13926292.2016.1145152

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Summary:This paper aims to find the exact solution in an implicit form for the well-known 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).
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ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2016.1145152