Linearly implicit schemes for a class of dispersive-dissipative systems

DOI10.1007/s10092-010-0033-6zbMath1223.65050OpenAlexW2013654444MaRDI QIDQ543487

Yiorgos-Sokratis Smyrlis, Georgios D. Akrivis

Publication date: 17 June 2011

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-010-0033-6

zbMATH Keywords

error estimatesKuramoto-Sivashinsky equationsemilinear parabolic equationsbackward differentiation formulas methodsdispersive-dissipative systemslinearly implicit schemesTopper-Kawahara equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear ordinary differential equations and systems (34A34) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

Backward difference formulae for Kuramoto-Sivashinsky type equations ⋮ Time discretization and stability regions for dissipative-dispersive Kuramoto-Sivashinsky equation arising in turbulent gas flow over laminar liquid ⋮ Implicit–explicit multistep methods for nonlinear parabolic equations ⋮ Asymptotic modelling and direct numerical simulations of multilayer pressure-driven flows ⋮ Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations ⋮ Nonlinear dynamics of surfactant-laden two-fluid Couette flows in the presence of inertia

Uses Software

• RODAS

Cites Work

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