Discrete superconvergent Nyström method for integral equations and eigenvalue problems

C. Allouch and M. Tahrichi

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 118, issue C, 17-29

Abstract: In this paper, discrete superconvergent Nyström method is studied for solving the second kind Fredholm integral equations and eigenvalue problems of a compact integral operator with a smooth kernel. We use interpolatory projections at Gauss points onto the space of (discontinuous) piecewise polynomials of degree ≤r−1. We analyze the convergence of this method and its iterated version and we establish superconvergence results. Numerical examples are presented to illustrate the obtained theoretical estimates.

Keywords: Nyström method; Discrete method; Interpolatory projection; Gauss points (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:matcom:v:118:y:2015:i:c:p:17-29

DOI: 10.1016/j.matcom.2014.11.010

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