Work

Semilocal Convergence Domain of a Chandrasekhar Integral Equation

Year: 2025

Type: article

Abstract: In this study, we discuss the semilocal convergence analysis of a fourth-order iterative method in Banach spaces. We assume the Fréchet derivative satisfies the Lipschitz continuity condition, obtains suitable recurrence relations, and determines the domain of convergence under appropriate initial estimates. In addition, the uniqueness domain for the solution and the error bounds are obtained. Next, several numerical examples, one which includes a Chandrasekhar integral equation, are carried out to apply the theoretical findings for semilocal convergence. Then, a final overview is provided.

Source: Symmetry

DOI: 10.3390/sym17050767

Authors: Eulalia Martínez, Arleen Ledesma

Institutions: Universitat Politècnica de València, Universidad Autónoma de Santo Domingo

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Universitat Politècnica de València