Enriched spectral methods and applications to problems with weakly singular solutions
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Publication:1633509
DOI10.1007/s10915-018-0862-zzbMath1406.65123OpenAlexW2899399074MaRDI QIDQ1633509
Publication date: 20 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0862-z
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Singular elliptic equations (35J75)
Related Items (11)
A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions ⋮ A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions ⋮ Singular asymptotic expansion and Legendre collocation method for two-term weakly singular Volterra integral equation of the second kind ⋮ Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian ⋮ Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems ⋮ A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel ⋮ A new spectral method using nonstandard singular basis functions for time-fractional differential equations ⋮ An efficient and accurate numerical method for the spectral fractional Laplacian equation ⋮ New spectral element method for Volterra integral equations with weakly singular kernel ⋮ On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems ⋮ An efficient space-time method for time fractional diffusion equation
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