A numerical method for solving second-kind linear Fredholm integral equations

International Journal of Statistics and Applied Mathematics 2026 Open access

Read full text
Authors: Ganiyu Ajileye, Ojo Olamiposi Aduroja, Ruth Bolaji Ilugbiyin
DOI: 10.22271/maths.2026.v11.i1b.2247
Cited by: 0

Abstract

This study presents a numerical technique for solving second-kind Fredholm integral equations via the collocation method. The modeled problem is transformed into an algebraic equation system and solved with standard collocation points. After determining the approach's uniqueness and convergence, numerical examples were used to assess its efficacy. The results indicate that the method outperforms others.

Fields of Study & Subjects

Differential Equations and Boundary Problems Mathematical functions and polynomials Numerical methods for differential equations

Publication details

Journal / source
International Journal of Statistics and Applied Mathematics
Volume
11
Issue
1
Pages
125–127
Publication date
1 January 2026