A New Approximate Analytical Technique For Dual Solutions Of Nonlinear Differential Equations Arising In Mixed Convection Heat Transfer In A Porous Medium

Keywords

Hankel-Padé method; Homotopy-Padé method; Padé-approximation; Predictor solutions; Prescribed parameter

Abstract

Purpose - The purpose of this paper is to present a new approximate analytical procedure to obtain dual solutions of nonlinear differential equations arising in mixed convection flow in a semi-infinite domain. This method, which is based on Padé-approximation and homotopy-Padé technique, is applied to a model of magnetohydrodynamic Falkner-Skan flow as well. These examples indicate that the method can be successfully applied to solve nonlinear differential equations arising in science and engineering. Design/methodology/approach - Homotopy-Padé method. Findings - The main focus of the paper is on the prediction of the multiplicity of the solutions, however we have calculated multiple (dual) solutions of the model problem namely, mixed convection heat transfer in a porous medium. Research limitations/implications - The authors conjecture here that the combination of traditional- Pade and Hankel-Pade generates a useful procedure to predict multiple solutions and to calculate prescribed parameter with acceptable accuracy as well. Validation of this conjecture for other further examples is a challenging research opportunity. Social implications - Dual solutions of nonlinear differential equations arising in mixed convection flow in a semi-infinite domain. Originality/value - In this study, the authors are using two modified methods.

Publication Date

1-1-2017

Publication Title

International Journal of Numerical Methods for Heat and Fluid Flow

Volume

27

Issue

2

Number of Pages

486-503

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1108/HFF-11-2015-0479

Socpus ID

85012956611 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85012956611

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