Approximation of nonlinear stability and dynamics for solidification of a dilute binary alloy(Kuramoto-Sivashinsky equation)using HPM
by M. Kazeminia   S. A. Zahedi   N. Tolou  

Vol. 5 No. 1 (2010) P.41~P.53

ABSTRACT

The objective of this paper is to present an investigation on the nonlinear stability and dynamics for solidification of a dilute binary alloy that has been represented via well known Kuramoto-Sivashinsky equation. The analysis has been carried out using a semi-analytical method, called homotopy perturbation method(HPM), which did not need small parameters. The perturbation method depends on assumption of small parameter and the obtained results, in most cases, end up with a non-physical result, furthermore, the numerical method may leads to inaccurate results. Homotopy Perturbation Method (HPM) clearly overcame the above shortcomings and furthermore it was very convenient and effective method.

KEYWORDS
Solidification, dilute binary alloy, Homotopy perturbation method (HPM), kuramoto-sivashinsky equation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary:

MILESTONES

Received: 2008-09-22
Revised : 2008-11-04
Accepted: 2008-11-04

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