Solving Hammerstein-Type Integral Equations with Polynomial Nemystkii Operator

被引：0

作者：

Hernandez-Veron, M. A. ^{[1
]}

Yadav, Sonia ^{[2
]}

Martinez, Eulalia ^{[3
]}

Singh, Sukhjit ^{[2
]}

机构：

[1] Univ La Rioja, Dept Math & Computat, Logrono, Spain

[2] Dr BR Ambedkar Natl Inst Technol, Jalandhar, India

[3] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2025年 / 22卷 / 03期

关键词：

Hammerstein-type non-linear integral equations; family of third-order iterative methods; convergence; recurrence relations; FREDHOLM;

D O I：

10.1007/s00009-025-02830-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we use a family of third-order iterative methods to locate, separate, and approximate a solution of non-linear integral equations of Hammerstein type. We will consider two situations, when the kernel of the integral equation is separable and when it is not separable. When the kernel is non-separable, we will approximate the given integral equation by means of a new one with a separable kernel, and this transformation allows us to locate and approximate a solution of the first integral equation. To apply our theoretical findings, various examples have been tested.

引用

页数：18

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