Unconditional energy dissipation and error estimates of the SAV Fourier spectral method for nonlinear fractional generalized wave equation
DOI10.1007/s10915-021-01534-8zbMath1480.35349arXiv2105.01692OpenAlexW3169070578MaRDI QIDQ2049095
Meng Li, Nan Wang, Cheng-Ming Huang
Publication date: 24 August 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.01692
energy dissipationFourier spectral methodunconditional error estimatefractional generalized wave equationscalar auxiliary variable (SAV)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)
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