Time-space spectral Galerkin method for time-fractional fourth-order partial differential equations

DOI10.1007/s12190-022-01707-0OpenAlexW4210557328WikidataQ114221180 ScholiaQ114221180MaRDI QIDQ2103143

Farhad Fakhar-Izadi, Narges Shabgard

Publication date: 13 December 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-022-01707-0

zbMATH Keywords

exponential convergenceLegendre polynomialsCaputo fractional derivativeconvergence and stability analysisFourier-like basis functionfourth-order time-fractional partial differential equationstime-space spectral method

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical analysis (65-XX)

Related Items (1)

Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis

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