Multiple solutions of problems in fluid mechanics by predictor optimal homotopy asymptotic method

A. K. Alomari, N. Ratib Anakira, Ishak Hashim

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A new algorithm based on the standard optimal homotopy asymptotic method, namely, the predictor optimal homotopy asymptotic method (POHAM), is proposed to predict the multiplicity of the solutions of nonlinear differential equations with boundary conditions. This approach is successfully implemented to obtain multiple solutions of a mixed convection flow model in a vertical channel and a nonlinear model arising in heat transfer. A new technique for obtaining the initial guess to accelerate the convergence of the series solution is presented.

Original languageEnglish
Article number372537
JournalAdvances in Mechanical Engineering
Volume2014
DOIs
Publication statusPublished - 2014

Fingerprint

Fluid mechanics
Mixed convection
Differential equations
Boundary conditions
Heat transfer

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Multiple solutions of problems in fluid mechanics by predictor optimal homotopy asymptotic method. / Alomari, A. K.; Anakira, N. Ratib; Hashim, Ishak.

In: Advances in Mechanical Engineering, Vol. 2014, 372537, 2014.

Research output: Contribution to journalArticle

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