A convergence computational scheme for system of integral equation using finite element method

被引：0
|
作者：
Zeidabadi H. [1 ]
Heidari M. [2 ]
机构：
[1] Faculty of Engineering, Sabzevar University of New Technology, Sabzevar
[2] Young Researchers and Elite Club, Ayatollah Amoli Branch, Islamic Azad University, Amol
来源：
International Journal of Dynamical Systems and Differential Equations | 2020年 / 10卷 / 01期
关键词：
Existence; Finite element method; System of volterra integral equation; Uniqueness;
D O I：
10.1504/IJDSDE.2020.104902
中图分类号：
学科分类号：
摘要：
In this paper, a computational scheme for extracting approximate solutions of system of integral equations is proposed. For this purpose, by considering the variational form of the problem and using finite element method, the system of integral equations are reduced to a system of algebraic equations, that are solved by an efficient algorithm. Also, the existence and uniqueness of the system of integral equations are illustrated and the convergence of the approximate solution to the exact solution is investigated. Finally, the effectiveness of the proposed method is discussed by comparing with the results of the given approaches in Babolian and Mordad (2011) and Jafarian et al. (2013). Copyright © 2020 Inderscience Enterprises Ltd.
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页码：47 / 58
页数：11
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