Numerical solution of regularized long wave equation using Petrov-Galerkin method

被引：31

作者：

Dogan, A ^{[1
]}

机构：

[1] Univ Nigde, Fac Art Sci, Dept Math, TR-51100 Nigde, Turkey

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2001年 / 17卷 / 07期

关键词：

RLW equation; finite elements; Petrov-Galerkin; undular bore;

D O I：

10.1002/cnm.424

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The regularized long wave (RLW) equation is solved by a Petrov-Galerkin method using quadratic B-spline finite elements. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is obtained via a Crank-Nicolson approach involving a product approximation. The motion of solitary waves is studied to assess the properties of the algorithm. The development of an undular bore is modelled. Copyright (C) 2001 John Wiley & Sons, Ltd.

引用

页码：485 / 494

页数：10

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