APPROXIMATION OF NONLINEAR STABILITY AND DYNAMICS FOR SOLIDIFICATION OF A DILUTE BINARY ALLOY (KURAMOTO-SIVASHINSKY EQUATION) USING HPM

被引：0

作者：

Kazeminia, M. ^{[1
]}

Zahedi, S. A. ^{[1
]}

Tolou, N. ^{[2
]}

机构：

[1] Babol Univ Technol, Dept Mech Engn, POB 484, Babol Sar, Iran

[2] Delft Univ Technol, Dept Mech Engn, NL-2628 CD Delft, Netherlands

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2010年 / 5卷 / 01期

关键词：

solidification; dilute binary alloy; Homotopy perturbation method (HPM); kuramoto-sivashinsky equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 KuramotoSivashinsky 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.

引用

页码：41 / 53

页数：13

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