Approximate solution of Fredholm integral equations of the second kind through multinode Shepard operators

Benaissa Zerroudi, Otheman Nouisser and Domingo Barrera

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 223, issue C, 485-493

Abstract: An efficient numerical method based on the Shepard method has been developed to deal with Fredholm integral equations of the second kind. The procedure involves expressing the unknown function as a linear combination of Shepard basis functions. Subsequently, a collocation method is used to get the matrix equation yielding the coefficients of such an approximate solution. The effectiveness of the proposed approach is illustrated by some examples.

Keywords: Fredholm integral equation; Shepard method; Modified Shepard method (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:223:y:2024:i:c:p:485-493

DOI: 10.1016/j.matcom.2024.04.038

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