Numerical Solution of Nonlinear Quadratic Integral Equation of Hammerstein Type Based on Fixed-Point Scheme
Year: 2025
Type: article
Abstract: Existence of the solution for the nonlinear quadratic integral equation of the Hammerstein type in the Banach space BC(R+) has been proved by using the technique of measure of noncompactness and fixed-point theorem. In this article, we obtain an approximate solution for the quadratic integral equation by using the Sinc method and the fixed-point technique. Moreover, the convergence of the numerical scheme for the solution of the integral equation is demonstrated by a theorem, and numerical experiments are presented to show the accuracy of the numerical scheme and guarantee the analytical results.
Source: Mathematics
DOI: 10.3390/math13091413
Authors: Reza Mollapourasl, Joseph Siebor
Institution: Farmingdale State College
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W4409805579