NUMERICAL-SOLUTIONS OF A DAMPED SINE-GORDON EQUATION IN 2 SPACE VARIABLES

被引：98

作者：

DJIDJELI, K ^{[1
]}

PRICE, WG ^{[1
]}

TWIZELL, EH ^{[1
]}

机构：

[1] UNIV SOUTHAMPTON,DEPT SHIP SCI,SOUTHAMPTON SO9 5NH,HANTS,ENGLAND

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 1995年 / 29卷 / 04期

关键词：

D O I：

10.1007/BF00042761

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Numerical solutions of the perturbed Sine-Gordon equation in two space variables, arising from a Josephson junction are presented. The method proposed arises from a two-step, one parameter method for the numerical solution of second-order ordinary differential equations. Though implicit in nature, the method is applied explicitly. Global extrapolation in both space and time is used to improve the accuracy. The method is analysed with respect to stability criteria and numerical dispersion. Numerical results are obtained for various cases involving line and ring solitons.

引用

页码：347 / 369

页数：23

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