A Fully Galerkin Method for the Damped Generalized Regularized Long-Wave (DGRLW) Equation

被引：19

作者：

Achouri, Talha ^{[2
]}

Ayadi, Mekki ^{[1
,3
]}

Omrani, Khaled ^{[1
]}

机构：

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

[2] Fac Sci Monastir, Monastir 5019, Tunisia

[3] Ecole Natl Ingenieurs Tunis, Lab Genie Civil, Tunis, Tunisia

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 03期

关键词：

DGRLW equation; Crank-Nicolson method; existence; uniqueness; convergence; linearization; MAHONY-BURGERS EQUATIONS; MODEL EQUATIONS; SOLITARY WAVES; BBM EQUATION; CONVERGENCE; APPROXIMATIONS; BEHAVIOR;

D O I：

10.1002/num.20367

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a fully discrete Galerkin scheme based on a nonlinear Crank-Nicolson method to approximate the solution of the DGRLW equation is constructed. Some a priori bounds are proved as well as error estimates. Then, a linearized modification scheme by an extrapolation method is discussed. The two schemes are time second order convergence. The last part is devoted to some numerical results. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 668-684, 2009

引用

页码：668 / 684

页数：17

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