This article demonstrates an approximate solution for a Ginzburg-Landau equation in non-circular domains, suggesting new methods for complex boundary conditions.
This article develops a method for obtaining an approximate solution for a Ginzburg-Landau type partial differential equation through an application of the generalized method of lines. More specifically, we address the issue of setting a boundary condition on a non-circular domain boundary, in the context of polar and Cartesian coordinates.
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Fabio Botelho (2025) studied this question.
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