An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type

DOI10.1093/IMANUM/DRY042zbMath1464.65204arXiv1712.00304OpenAlexW2962910852MaRDI QIDQ5243254

Nicholas Hale

Publication date: 18 November 2019

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00304

zbMATH Keywords

spectralconvolutionLegendreVolterraFredholmintegro-differentialultraspherical

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fredholm integral equations (45B05) Volterra integral equations (45D05) Integro-partial differential equations (35R09)

Related Items (4)

Computing equilibrium measures with power law kernels ⋮ A static memory sparse spectral method for time-fractional PDEs ⋮ A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle ⋮ A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels

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