Approximate Solutions of Ginzburg-Landau Equation using Two Reliable Techniques

Abstract

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.