Numerical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach

DOI10.1002/mma.4932zbMath1397.35206OpenAlexW2800701802MaRDI QIDQ4581107

Imen Manoubi, Serge Dumont

Publication date: 23 August 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4932

zbMATH Keywords

fractional derivativesdecay ratewater wavestime splittingnonlocal viscous modeldiffusive realization

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Internal waves for incompressible inviscid fluids (76B55) Numerical methods for discrete and fast Fourier transforms (65T50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical integration (65D30) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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