Numerical solution to the van der Pol equation with fractional damping

被引：13

作者：

Konuralp, Ali ^{[1
]}

Konuralp, Cigdem ^{[2
]}

Yildirim, Ahmet ^{[3
]}

机构：

[1] Celal Bayar Univ, Fac Art & Sci, Dept Math, TR-45047 Manisa, Turkey

[2] Muradiye High Sch, Muradiye, Manisa, Turkey

[3] Ege Univ, Fac Sci, Dept Math, Izmir, Turkey

来源：

PHYSICA SCRIPTA | 2009年 / T136卷

关键词：

DIFFERENTIAL-EQUATIONS; APPROXIMATE;

D O I：

10.1088/0031-8949/2009/T136/014034

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this study, the van der Pol equation with fractional damping is investigated and the numerical solution of the problem is obtained by means of the variational iteration method. For this purpose, specific alpha values are considered and the emerged fractional differential equations are solved approximately. Furthermore, these solutions are compared and the relations between them are figured out.

引用

页数：5

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