Exact Analytical Solution of Boundary Value Problem in a Form of an Infinite Hypergeometric Series

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Ali Belhocine 1,*

1. Faculty of Mechanical Engineering, University of Sciences and the Technology of Oran L.P 1505 El - MNAOUER, USTO 31000 Oran Algeria

* Corresponding author.

DOI: https://doi.org/10.5815/ijmsc.2017.01.03

Received: 8 Oct. 2016 / Revised: 5 Nov. 2016 / Accepted: 3 Dec. 2016 / Published: 8 Jan. 2017

Index Terms

Graetz problem, Sturm-Liouville problem, Dimensionless variable, Partial differential equation


This paper proposes an exact solution of the classical Graetz problem in terms of an infinite series represented by a nonlinear partial differential equation considering two space variables, two boundary conditions and one initial condition. The mathematical derivation is based on the method of separation of variables whose several stages were illustrated to reach the solution of the Graetz problem.

Cite This Paper

Ali Belhocine,"Exact Analytical Solution of Boundary Value Problem in a Form of an Infinite Hypergeometric Series", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.3, No.1, pp.28-37, 2017.DOI: 10.5815/ijmsc.2017.01.03


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