Numerical methods and error analysis for the nonlinear Sivashinsky equation

DOI10.1016/j.amc.2006.11.169zbMath1128.65082OpenAlexW2028619832MaRDI QIDQ2381400

Khaled Omrani

Publication date: 17 September 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.11.169

zbMATH Keywords

convergencefinite elementsfinite difference schemeerror boundssemidiscretizationSivashinsky equationbackward Euler-Galerkin methodcomplete discretizationCrank-Nicolson-Galerkin method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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