eISSN 2231-8879
Published by:
Science & Knowledge Research Society

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Superconvergence Results for the Iterated Discrete Legendre Galerkin Method for Hammerstein Integral Equations
Payel Das, Gnaneshwar Nelakanti
Pages: 75-82
DOI: 10.20967/jcscm.2015.04.003

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Abstract

In this paper we analyse the iterated discrete Legendre Galerkin method for Fredholm-Hammerstein integral equation with a smooth kernel. Using a sufficiently accurate numerical quadrature rule, we obtain super-convergence rates for the iterated discrete Legendre Galerkin solutions in both infinity and 𝐿2-norm. Numerical examples are given to illustrate the theoretical results.



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