Fourier spectral approximation for time fractional Burgers equation with nonsmooth solutions

DOI10.1016/j.apnum.2021.05.022zbMath1486.65190OpenAlexW3167328744MaRDI QIDQ2048430

Li Chen, Tao Xu, Shujuan Lü

Publication date: 5 August 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.05.022

zbMATH Keywords

stabilityconvergencetime fractional Burgers equationFourier spectral methodnonsmooth solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (6)

Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes ⋮ An implicit nonlinear difference scheme for two-dimensional time-fractional Burgers' equation with time delay ⋮ Numerical approach for time-fractional Burgers' equation via a combination of Adams-Moulton and linearized technique ⋮ Composite spectral method for the Neumann problem of the Burgers equation on the half line ⋮ Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation ⋮ A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity

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