In this article, we study a kernel-based method to solve three-dimensional linear Fredholm integralequationsofthesecondkindovergeneraldomains.Theradialkernelsareutilizedas a basis in the discrete collocation method to reduce the solution of linear integral equations tothatofalinearsystemofalgebraicequations.Integralsappearedintheschemeareapproximately computed by the Gauss–Legendre and Monte Carlo quadrature rules. The method does not require any background mesh or cell structures, so it is mesh free and accordingly independent of the domain geometry. Thus, for the three-dimensional linear Fredholm integralequation,anirregulardomaincanbeconsidered.Theconvergenceanalysisisalsogiven forthemethod.Finally,numericalexamplesarepresentedtoshowtheefficiencyandaccuracy of the technique.
