The Jacobi spectral collocation method for fractional integro-differential equations with non-smooth solutions
DOI10.3934/era.2020064zbMath1448.65084OpenAlexW3043039797MaRDI QIDQ2200443
Yin Yang, Sujuan Kang, Vasiliy I. Vasil'ev
Publication date: 22 September 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020064
convergence analysisspectral collocation methodnon-smooth solutionfractional integro-differential equationsmoothing transformation
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectral and related methods applied to problems in solid mechanics (74S25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Fractional ordinary differential equations (34A08)
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