A spline collocation method for Fredholm–Hammerstein integral equations of the second kind in two variables

Sanda Micula

Applied Mathematics and Computation, 2015, vol. 265, issue C, 352-357

Abstract: We consider Fredholm–Hammerstein integral equations of the second kind over a rectangular region in plane. As in Kumar and Sloan (1987) [5], we reformulate it into an equivalent integral equation. For the alternative equation, we triangulate the rectangular domain and on each triangle use a collocation method based on constant spline approximation. We discuss the convergence of the approximate solutions and conclude the paper with numerical examples.

Keywords: Fredholm–Hammerstein integral equations; Spline collocation; Nonlinear integral operators (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:352-357

DOI: 10.1016/j.amc.2015.05.017

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