A new approach of shifted Jacobi spectral Galerkin methods (SJSGM) for weakly singular Fredholm integral equation with non-smooth solution

This article presents a new approach of shifted Jacobi spectral Galerkin methods to solve weakly singular Fredholm integral equations with non-smooth solutions. We have incorporated the singular part of the kernel into a single Jacobi weight function, by dividing the integration into two parts and u...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 96; no. 4; pp. 1553 - 1582
Main Authors:	Kayal, Arnab, Mandal, Moumita
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2024 Springer Nature B.V
Subjects:	Algebra Algorithms Comparative studies Computer Science Exact solutions Fredholm equations Galerkin method Integral equations Mathematical analysis Methods Numeric Computing Numerical Analysis Operators (mathematics) Original Paper Polynomials Regularity Smoothing Theory of Computation Transformations (mathematics) Weighting functions Jacobi polynomials Jacobi spectral Galerkin method Fredholm integral equations Superconvergence rate Weakly singular kernel
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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