Galerkin finite element method for the Rosenau-RLW equation

被引：73

作者：

Atouani, Noureddine ^{[1
]}

Omrani, Khaled ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 03期

关键词：

Rosenau-RLW equation; Existence; Uniqueness; Finite element method; Crank-Nicolson scheme; Error estimates; SYSTEMS;

D O I：

10.1016/j.camwa.2013.04.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Finite element Galerkin solutions for the Rosenau-RLW (RRLW) equation are considered. The existence and uniqueness of the weak solution are shown and the semidiscrete Galerkin scheme is studied using appropriate projections. For a second order accuracy in time, we propose the Galerkin-Crank-Nicolson fully discrete method. We also prove the convergence of the extrapolated Crank-Nicolson scheme. Finally, some numerical experiments are given to demonstrate the validity and accuracy of our method. Published by Elsevier Ltd

引用

页码：289 / 303

页数：15

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