A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system
Küçük Resim Yok
Tarih
2012
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Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for solving the time-fractional coupled Schrödinger system. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. Through analysis we show that our scheme is unconditionally stable, and the L 2 error estimate has the convergence rate O(hk+ 1+(? t 2+( ?t)?2hk+ 12) for the linear case. Extensive numerical results are provided to demonstrate the efficiency and accuracy of the scheme. © 2012 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Error estimates, Local discontinuous Galerkin method, Stability, Time-fractional coupled Schrödinger system
Kaynak
Computers and Mathematics with Applications
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
64
Sayı
8
