He's homotopy perturbation method for solving the space- and time-fractional telegraph equations

被引：67

作者：

Yildirim, Ahmet ^{[1
]}

机构：

[1] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkey

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 13期

关键词：

homotopy perturbation method; fractional differential equation; telegraph equation; PARTIAL-DIFFERENTIAL-EQUATIONS; VARIATIONAL ITERATION METHOD; INTEGRODIFFERENTIAL EQUATIONS; ASYMPTOTIC METHODS; OSCILLATOR; SYSTEM; FLOW;

D O I：

10.1080/00207160902874653

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, homotopy perturbation method (HPM) is used to obtain analytic and approximate solutions of the space- and time-fractional telegraph equations. The space- and time-fractional derivatives are considered in the Caputo sense. The analytic solutions are calculated in the form of a series with easily computable terms. Some examples are given. The results reveal that HPM is very effective and convenient.

引用

页码：2998 / 3006

页数：9

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