Dissipation-preserving Galerkin-Legendre spectral methods for two-dimensional fractional nonlinear wave equations

DOI10.1016/j.camwa.2020.04.013zbMath1447.65093OpenAlexW3028702087WikidataQ115099875 ScholiaQ115099875MaRDI QIDQ2194782

Nan Wang, Meng Li, Guoyu Zhang, Mingfa Fei, Cheng-Ming Huang

Publication date: 7 September 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.04.013

zbMATH Keywords

stabilityconvergencedissipation-preserving propertyfractional nonlinear wave equationGalerkin-Legendre spectral methods

Mathematics Subject Classification ID

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) 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) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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