Work

Solving Hammerstein-Type Integral Equations with Polynomial Nemystkii Operator

Year: 2025

Type: article

Abstract: 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.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-025-02830-5

Authors: M. A. Hernández-Verón, Sonia Yadav, Eulalia Martínez, Sukhjit Singh

Institutions: Universidad de La Rioja, Dr. B. R. Ambedkar National Institute of Technology Jalandhar, Universitat Politècnica de València

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Ministerio de Economía y Competitividad, Science and Engineering Research Board