FINITE DIFFERENCE/<i>H</i>¹-GALERKIN MFE PROCEDURE FOR A FRACTIONAL WATER WAVE MODEL

DOI10.11948/2016031zbMath1463.65378OpenAlexW2281174015MaRDI QIDQ5121323

Min Zhang, Hong Li, Yang Liu, Jin-Feng Wang

Publication date: 14 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2016031

zbMATH Keywords

stabilitya priori error estimatesoptimal convergence rate\(H^1\)-Galerkin MFE methodtime fractional water wave model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

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