International Journal of Mathematics and Computational FrontiersISSN 3108-186X (Online)

Numerical solutions of Fredholm integral equations via second kind of Chebyshev wavelets

Preeti*, Inderdeep Singh

International Journal of Mathematics and Computational Frontiers, Vol. 2, Issue 1 · Pages 1–10 · January–June 2026

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Abstract

This research paper is devoted to finding the numerical solutions of the Fredholm integral equations with the help of basis functions of the second kind of Chebyshev wavelets. First of all, convert the Fredholm integral equation into differential equations via Leibnitz rule of integration and then apply classical Chebyshev wavelet technique. Some numerical examples have been performed to illustrate the accuracy and simplicity of the proposed scheme.

Keywords: Chebyshev wavelets, Chebyshev wavelets of the second kind, Numerical differentiation, Numerical integration, Fredholm integral equations, Test examples

How to cite

Preeti, Inderdeep Singh (2026). Numerical solutions of Fredholm integral equations via second kind of Chebyshev wavelets. International Journal of Mathematics and Computational Frontiers, 2(1), 1–10.