Superconvergent method for weakly singular Fredholm-Hammerstein integral equations with non-smooth solutions and its application

In this article, we propose shifted Jacobi spectral Galerkin method (SJSGM) and iterated SJSGM to solve nonlinear Fredholm integral equations of Hammerstein type with weakly singular kernel. We have rigorously studied convergence analysis of the proposed methods. Even though the exact solution exhib...

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Bibliographic Details

Published in:	Applied numerical mathematics Vol. 207; pp. 24 - 44
Main Authors:	Kayal, Arnab, Mandal, Moumita
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.01.2025
Subjects:	Fredholm-Hammerstein integral equation Jacobi spectral Galerkin method Non-smooth solution Superconvergence Weakly singular kernel Superconvergence Jacobi spectral Galerkin method Fredholm-Hammerstein integral equation Weakly singular kernel Non-smooth solution
ISSN:	0168-9274
Online Access:	Get full text
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