A second-order splitting method for a finite difference scheme for the Sivashinsky equation

DOI10.1016/S0893-9659(03)80070-8zbMath1048.65085OpenAlexW1986622662MaRDI QIDQ1431959

Khaled Omrani

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)80070-8

zbMATH Keywords

finite difference schemeerror estimateSivashinsky equationsplitting method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

Numerical methods and error analysis for the nonlinear Sivashinsky equation ⋮ Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem ⋮ Finite difference approximate solutions for a mixed sub-superlinear equation ⋮ A finite element method for the Sivashinsky equation ⋮ On the \(L^\infty\)-norm convergence of a three-level linearly implicit finite difference method for the extended Fisher-Kolmogorov equation in both 1D and 2D ⋮ Cubic Hermite collocation solution of Kuramoto–Sivashinsky equation ⋮ A numerical scheme for the solution of Sivashinsky equation

Cites Work

• Unnamed Item
• Large Cells in Nonlinear Rayleigh-Benard Convection
• A finite element method for the Sivashinsky equation

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