Journal of Engineering Mathematics

, Volume 29, Issue 4, pp 347–369

Numerical solutions of a damped Sine-Gordon equation in two space variables

Article

DOI: 10.1007/BF00042761

Cite this article as:
Djidjeli, K., Price, W.G. & Twizell, E.H. J Eng Math (1995) 29: 347. doi:10.1007/BF00042761

Abstract

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.

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  1. 1.Department of Ship ScienceUniversity of SouthamptonSouthamptonEngland
  2. 2.Department of Mathematics and StatisticsBrunel UniversityUxbridgeEngland