Superconvergence Results for Weakly Singular Fredholm-Hammerstein Integral Equations

In this article, we consider the multi-Galerkin method for solving the Fredholm-Hammerstein integral equations with weakly singular kernels, using piecewise polynomial bases. We show that multi-Galerkin method has order of convergence for the algebraic kernel, whereas for logarithmic kernel, it conv...

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Bibliographic Details

Published in:	Numerical functional analysis and optimization Vol. 40; no. 5; pp. 548 - 570
Main Authors:	Mandal, Moumita, Nelakanti, Gnaneshwar
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 04.04.2019 Taylor & Francis Ltd
Subjects:	Algebra Convergence Formulas (mathematics) Fredholm-Hammerstein integral equations Galerkin method Integral equations Kernels Mathematical analysis multi-Galerkin method piecewise polynomial Polynomials Smoothness superconvergence rates weakly singular kernels
ISSN:	0163-0563, 1532-2467
Online Access:	Get full text
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