Triangular functions for numerical solution of the nonlinear Volterra integral equations

被引：15
|
作者：
Kazemi, Manochehr [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Ashtian Branch, Ashtian, Iran
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 03期
关键词：
Iterative method; Triangular functions; Uniform modulus of continuity; Successive approximations; 2ND KIND; SUCCESSIVE INTERPOLATIONS; QUADRATURE-RULES; FREDHOLM; EXISTENCE; WAVELETS; TAYLOR;
D O I：
10.1007/s12190-021-01603-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new numerical iterative method based on the successive approximations method for solving nonlinear Hammerstein Volterra integral equations of the second kind is proposed. The main approximation tool is based on triangular functions. Also, the convergence analysis and numerical stability of the proposed method are proved. Finally, some numerical examples verify the theoretical results and show the accuracy of the method.
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页码：1979 / 2002
页数：24
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