Methods for the Numerical Solution of the Benjamin-Bona-Mahony-Burgers Equation

被引：33

作者：

Kadri, Tlili ^{[2
]}

Khiari, Noomen ^{[1
]}

Abidi, Faycal ^{[3
]}

Omraw, Khaled ^{[1
]}

机构：

[1] Inst Super Sci Appl & Technol Sousse, Sousse Ibn Khaldoun 4003, Tunisia

[2] Fac Sci Tunis, Tunis 1060, Tunisia

[3] Ecole Polytech Tunis, La Marsa 2078, Tunisia

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 24卷 / 06期

关键词：

BBMB equation; weak formulation; existence; uniqueness; finite element method; semidiscrete schemes; fully discrete schemes; backward Euler; two-step backward method; error estimates;

D O I：

10.1002/num.20330

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

L-infinity-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. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 24: 1501-1516, 2008

引用

页码：1501 / 1516

页数：16

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