Numerical solution of RLW equation using linear finite elements within Galerkin's method

被引：105
|
作者：
Dogan, A [1 ]
机构：
[1] Univ Nigde, Dept Math, Fac Art Sci, TR-51100 Nigde, Turkey
来源：
APPLIED MATHEMATICAL MODELLING | 2002年 / 26卷 / 07期
关键词：
RLW equation; finite element methods; Galerkin;
D O I：
10.1016/S0307-904X(01)00084-1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The regularised long wave equation is solved by Galerkin's method using linear space finite elements. In the simulations of the migration of a single solitary wave, this algorithm is shown to have good accuracy for small amplitude waves. Moreover, for very small amplitude waves (less than or equal to 0.09) it has higher accuracy than an approach using quadratic B-spline finite elements within Galerkin's method. The interaction of two solitary waves is modelled for small amplitude waves. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：771 / 783
页数：13
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