Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind

被引：0
作者：
Edyta Hetmaniok
Damian Słota
Tomasz Trawiński
Roman Wituła
机构：
[1] Silesian University of Technology,Institute of Mathematics
[2] Silesian University of Technology,Mechatronics Division
来源：
Numerical Algorithms | 2014年 / 67卷
关键词：
Homotopy analysis method; Nonlinear integral equation; Linear integral equation; Convergence; Error estimations; 65R20; 45G10; 45A05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper presents an application of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind. In this method a series is created, sum of which (if the series is convergent) gives the solution of discussed equation. Conditions ensuring convergence of this series are presented in the paper. Error of approximate solution, obtained by considering only partial sum of the series, is also estimated. Examples illustrating usage of the investigated method are presented as well, including the example having practical application for calculating the charge in supply circuit of flash lamps used in cameras.
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页码：163 / 185
页数：22
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