Piecewise Linear Maximum Entropy Method for Fredholm Integral Equations with Weakly Singular Kernel

East Asian Journal on Applied Mathematics 2026 Open access

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Authors: Yucheng Song, Tingting Li, Jiu Ding, Congming Jin
DOI: 10.4208/eajam.2025-140.241225
Cited by: 0

Abstract

Approximate solution of Fredholm integral equations with certain types of weakly singular algebraic kernels is obtained by the piecewise linear maximum entropy method. During implementation of the method, two-dimension numerical integration is reduced to one-dimension numerical integration, which allows to lower the computational cost. The results of numerical experiments are consistent with theoretical findings and show the effectiveness of the method.

Fields of Study & Subjects

Differential Equations and Boundary Problems Mathematical functions and polynomials Numerical methods in inverse problems

Publication details

Journal / source
East Asian Journal on Applied Mathematics
Volume
16
Issue
4
Pages
849–864
Publication date
24 February 2026
Language
EN