Spectral Homotopy Analysis Method for Solving Nonlinear Volterra Integro Differential Equations

被引：0

作者：

Atabakan, Zohreh Pashazadeh ^{[2
]}

Nasab, Aliasghar Kazemi ^{[2
]}

Kilicman, Adem ^{[1
,2
]}

机构：

[1] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia

[2] Univ Putra Malaysia, Fac Sci, Dept Math, Upm Serdang 43400, Selangor, Malaysia

来源：

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2014年 / 8卷

关键词：

Homotopy analysis method; spectral homotopy analysis method; Clenshaw-Curtis quadrature formula; Volterra integro-differential equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we proposed Spectral Homotopy analysis method to solve nonlinear Volterra integro-differential equations. Some examples are given to approve the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to homotopy analysis method and exact analytical solutions.

引用

页码：153 / 161

页数：9

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