SOLITARY WAVES OF THE REGULARIZED LONG-WAVE EQUATION

被引：98

作者：

GARDNER, LRT

GARDNER, GA

机构：

[1] School of Mathematics, University of Wales, University College of North Wales, Bangor

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1990年 / 91卷 / 02期

关键词：

D O I：

10.1016/0021-9991(90)90047-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A finite element solution of the Regularised Long Wave Equation, based on Galerkin's method using cubic splines as element shape functions, is set up. A linear stability analysis shows the scheme to be unconditionally stable. Test problems, including the migration and interaction of solitary waves, are used to validate the method, which is found to be accurate and efficient. The three invariants of the motion are evaluated to determine the conservation properties of the algorithm. The temporal evolution of a Maxwellian initial pulse is then studied. © 1990.

引用

页码：441 / 459

页数：19

共 14 条

[1] ONE MORE EXAMPLE OF INELASTIC SOLITON INTERACTION [J].