Work

Nyström method for the system of multi-dimensional nonlinear Fredholm integral equations of the second kind by the variable transformation

Year: 2025

Type: article

Abstract: An efficient numerical scheme is developed to solve the system of multi-dimensional nonlinear Fredholm integral equations (MDNFIEs) of the second kind in terms of the variable transformation technique of Sidi type in conjunction with the trapezoidal quadrature rule. Using the product Nyström method, the considered integral system is discretized into a set of nonlinear algebraic equations. Additionally, a rigorous convergence analysis of the proposed method is provided, thus demonstrating that compared with the classical trapezoidal quadrature rule approach, this scheme achieves a significantly improved convergence rate. Furthermore, numerical examples are presented to validate the efficiency and accuracy of the described method.

Source: AIMS Mathematics

DOI: 10.3934/math.2025777

Authors: Yanying Ma, Zhenxing Hao, Hongyan Liu, Guodong Wang, Changqing Wang

Institutions: Anhui Jianzhu University, Guizhou University, Anhui Medical University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4412840385