Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method

被引：0
|
作者：
Amirkhizi, Simin Aghaei [1 ]
Mahmoudi, Yaghoub [1 ]
Shamloo, Ali Salimi [2 ]
机构：
[1] Islamic Azad Univ, Dept Math, Tabriz Branch, Tabriz, Iran
[2] Islamic Azad Univ, Dept Math, Shabestar Branch, Shabestar, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2024年 / 12卷 / 01期
关键词：
Volterra integral equation; Piecewise continuous kernel; Modified Adomian decomposition method; SOLVABILITY;
D O I：
10.22034/cmde.2023.52806.2227
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, for solving linear and nonlinear Volterra integral equations of the first kind with discontinuous kernels, the Adomian decomposition method, and the modified Adomian decomposition method are presented. We convert the main equation into the Volterra integral equation of the second kind. The numerical examples are given to denote the accuracy of the suggested method.
引用
收藏
页码：189 / 195
页数：7
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