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Journal of Applied Mathematics and Computing

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30-09-2016 | Original Research

Error analysis of polynomial-based multi-projection methods for a class of nonlinear Fredholm integral equations

Authors: Payel Das, Gnaneshwar Nelakanti

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2018

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Abstract

In this paper, we consider the multi-Galerkin and multi-collocation methods for solving the Urysohn integral equation with a smooth kernel, using Legendre polynomial basis functions. Superconvergence results for the approximate and iterated approximate solutions of the proposed methods are obtained in both infinity and \(L^2\)-norm. Numerical examples are presented to illustrate the theoretical results.

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Title: Error analysis of polynomial-based multi-projection methods for a class of nonlinear Fredholm integral equations
Authors: Payel Das
Gnaneshwar Nelakanti
Publication date: 30-09-2016
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2018
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-016-1059-y

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