Homotopy Perturbation Method for Solving System of Generalized Abel's Integral Equations

被引：0
|
作者：
Kumar, Sunil [1 ]
Singh, Om P. [1 ]
Dixit, Sandeep [1 ]
机构：
[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2011年 / 6卷 / 01期
关键词：
Homotopy Perturbation Method; System of Generalized Abel's Integral Equations; Abel's Kernel;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a user friendly algorithm based on the homotopy perturbation method (HPM) is proposed to solve a system of generalized Abel's integral equations. The stability of the solution under the influence of noise in the input data is analyzed. It is observed that the approximate solutions converge to the exact solutions. Illustrative numerical examples are given to demonstrate the efficiency and simplicity of the proposed method in solving such types of systems of Abel's integral equations.
引用
收藏
页码：268 / 283
页数：16
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