Applications of a Generalized Singular Boundary Value Problem for the Exact Solutions of Some Temperature/Concentration Equations

Abdelhalim Ebaid *

Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

Fahad M. Alharbi

Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

*Author to whom correspondence should be addressed.


Abstract

In the field of fluid mechanics, the temperature distribution and the nanoparticles concentration are usually described by singular boundary value problems (SBVPs). Such SBVPs are also used to describe various models with applications in engineering and other areas. Generally, obtaining the analytic solutions of such kind of problems is a challenge due to the singularity involved in the governing equations. In this paper, a class of SBVPs is analyzed. The solution of this class is analyzed and investigated through developing several theorems and lemmas. In addition, the theoretical results are invested to construct several solutions for various models/problems in fluid mechanics in the literature. Moreover, the published results are recovered as special cases of our analysis.

Keywords: Nanofluid, temperature, ordinary differential equation, hypergeometric series, exact solution.


How to Cite

Ebaid, Abdelhalim, and Fahad M. Alharbi. 2020. “Applications of a Generalized Singular Boundary Value Problem for the Exact Solutions of Some Temperature/Concentration Equations”. Physical Science International Journal 24 (10):1-9. https://doi.org/10.9734/psij/2020/v24i1030216.

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