Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method

被引：1

作者：

Kherchouche, Khedidja ^{[1
]}

Bellour, Azzeddine ^{[1
]}

Lima, Pedro ^{[2
]}

机构：

[1] Ecole Normale Super Constantine, Lab Math Appl & Didact, Constantine, Algeria

[2] Univ Lisbon, Dept Math, Inst Super Tecn, Lisbon, Portugal

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2023年 / 100卷 / 11期

关键词：

Nonlinear third-kind Volterra integral equation; Collocation method; Iterative method; Lagrange polynomials; Convergence analysis;

D O I：

10.1080/00207160.2023.2260007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the application of an iterative collocation method based on the use of Lagrange polynomials for the numerical solution of a class of nonlinear third-kind Volterra integral equations. The approximate solution is given by explicit formulas. The error analysis of the proposed numerical method is studied theoretically. Some numerical examples are given to confirm our theoretical results.

引用

页码：2063 / 2076

页数：14

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