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Numerical solutions of a damped Sine-Gordon equation in two space variables (1995)

Djidjeli, K. ; Price, W. G. ; Twizell, E. H.

Springer

Journal of engineering mathematics 29 (1995), S. 347-369

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ISSN: 1573-2703

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Technology

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00042761

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