A meshfree method for solving multidimensional linear Fredholm integral equations on the hypercube domains

Mohsen Esmaeilbeigi, Farshid Mirzaee and Davoud Moazami

Applied Mathematics and Computation, 2017, vol. 298, issue C, 236-246

Abstract: The main purpose of this article is to describe a numerical scheme for solving multidimensional linear Fredholm integral equations of the second kind on the hypercube domains. The method is based on interpolation by radial basis functions (RBFs) to approximate the solution of the linear Fredholm integral equations. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method.

Keywords: Multidimensional integral equation; Radial basis functions; Collocation method; Hypercube domains (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:298:y:2017:i:c:p:236-246

DOI: 10.1016/j.amc.2016.11.020

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