# Gegenbauer Series for Numerical Solution of Fredholm Integral Equations of the Second Kind

## DOI:

https://doi.org/10.26713/cma.v14i1.2003## Keywords:

Fredholm integral equations, Gegenbauer polynomials, Numerical solutions## Abstract

In this work, to solve the integral equation we rely on the technique of orthogonal polynomials, as some authors have shown in the past [11,12]. However, this work, which simplifies the integral equation in the form of a matrix where it corresponds to a set of linear algebraic equations. Here we rely on the approximation of a series called the Gegenbauer series, which leads us to a rough and effective solution where the error obtained is small compared to the results obtained by some authors.

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## References

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*Communications in Mathematics and Applications*,

*14*(1), 167–173. https://doi.org/10.26713/cma.v14i1.2003

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