Journal
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume 27, Issue 2, Pages 486-503Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/HFF-11-2015-0479
Keywords
Hankel-Pade method; Homotopy-Pade method; Pade-approximation; Predictor solutions; Prescribed parameter
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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 Pade-approximation and homotopy-Pade 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-Pade 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.
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