Alikhanov Legendre-Galerkin Spectral Method for the Coupled Nonlinear Time-Space Fractional Ginzburg-Landau Complex System

Zaky, MA; Hendy, AS; De Staelen, RH

Zaky, MA (corresponding author), Natl Res Ctr, Dept Appl Math, Cairo 12622, Egypt.; Hendy, AS (corresponding author), Ural Fed Univ, Inst Nat Sci & Math, Dept Computat Math & Comp Sci, 19 Mira St, Ekaterinburg 620002, Russia.; Hendy, AS (corresponding author), Fac Sci Benha Univ, Dept Math, Banha 13511, Egypt.; De Staelen, RH (corresponding author), Univ Ghent, Deans Off, Fac Med & Hlth Sci, C Heymanslaan 10, B-9000 Ghent, Belgium.; De Staelen, RH (corresponding author), Ghent Univ Hosp, Beheer

MATHEMATICS, 2021; 9 (2):

Abstract

A finite difference/Galerkin spectral discretization for the temporal and spatial fractional coupled Ginzburg-Landau system is proposed and analyzed. ......

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