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The aim of this article is to compare the Sobolev gradient technique with the Adomian decomposition method for computing a GinzburgLandau equation. A convergence criterion for the application of ADM to
the generalized Ginzburg-Landau equation is also presented. From the
computational point of view, the Sobolev gradient is efficient, easy to use
and offer greater accuracy in case of larger domains than ADM.
Nauman Raza. (2019) Approximate Solutions of Ginzburg-Landau Equation using Two Reliable Techniques, Punjab University Journal of Mathematics, Volume 51, Issue 2.
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