A Müntz-Collocation spectral method for weakly singular volterra integral equations

In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel \((x-s)^{-\mu},0

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Bibliographic Details
Published in:arXiv.org 2019-11
Main Authors: Hou, Dianming, Lin, Yumin, Azaiez, Mejdi, Xu, Chuanju
Format: Article
Language:English
Subjects:
Collocation
Convergence
Integral equations
Interpolation
Norms
Operators (mathematics)
Polynomials
Sobolev space
Spectra
Spectral methods
Volterra integral equations
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Description
Summary:In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel \((x-s)^{-\mu},0
ISSN:2331-8422
DOI:10.48550/arxiv.1904.09594