Methods for the numerical solution of the Benjamin‐Bona‐Mahony‐Burgers equation |
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| Authors: | Tlili Kadri Noomen Khiari Faycal Abidi Khaled Omrani |
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| Institution: | 1. Faculté des Sciences de Tunis, Campus Universitaire, 1060 Tunis, Tunisia;2. Institut Supérieur des Sciences Appliquées et de Technologie de Sousse, 4003 Sousse Ibn Khaldoun, Tunisia;3. Ecole Polytechnique de Tunis, Rue El Khawarezmi, 2078 La Marsa, Tunisia |
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| Abstract: | L∞‐error estimates for finite element for Galerkin solutions for the Benjamin‐Bona‐Mahony‐Burgers (BBMB) equation are considered. A priori bound and the semidiscrete Galerkin scheme are studied using appropriate projections. For fully discrete Galerkin schemes, we consider the backward Euler method and analyze the corresponding error estimates. For a second order accuracy in time, we propose a three‐level backward method. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008 |
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| Keywords: | BBMB equation weak formulation existence uniqueness finite element method semidiscrete schemes fully discrete schemes backward Euler two‐step backward method error estimates |
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