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A Fast Semi-Implicit Finite-Difference Method for the TDGL Equations

โœ Scribed by T. Winiecki; C.S. Adams

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
149 KB
Volume
179
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

We propose a finite-difference algorithm for solving the time-dependent Ginzburg-Landau (TDGL) equation coupled to the appropriate Maxwell equation. The time derivatives are discretized using a second-order semi-implicit scheme which, for intermediate values of the Ginzburg-Landau parameter , allows time steps two orders of magnitude larger than commonly used in explicit schemes. We demonstrate the use of the method by solving a fully three-dimensional problem of a current-carrying wire with longitudinal and transverse magnetic fields.

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