Author： Willers J. Twizell E.H.
Publisher： Taylor & Francis Ltd
ISSN： 1023-6198
Source： Journal of Difference Equations and Applications, Vol.9, Iss.12, 2003-12, pp. : 1059-1068
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Abstract
Two finite-difference methods, which differ only in the way that they approximate the derivative boundary conditions, are developed for solving a particular form of the complex Ginzburg-Landau equation of superconductivity. The non-linear term in this equation is linearized in a way familiar to readers of Professor Mickens' work, and the numerical solution is obtained at each time step by solving a linear algebraic system. Consistency and stability are discussed and some numerical results are reported.
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