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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Vydané v:	Numerical algorithms Ročník 96; číslo 4; s. 1553 - 1582
Hlavní autori:	Kayal, Arnab, Mandal, Moumita
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.08.2024 Springer Nature B.V
Predmet:	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
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