@Article{EAJAM-8-634,
author = {Zhi-Zhong Sun, Jiwei Zhang and Zhimin Zhang},
title = {Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {4},
pages = {634--655},
abstract = {<p style="text-align: justify;">The artificial boundary method is used to reformulate the time fractional
Schrödinger equation on the real line as a bounded problem with exact artificial boundary
conditions. The problem appeared is solved by a numerical method employing the
L1-formula for the Caputo derivative and finite differences for spatial derivatives. The
convergence of the method studied and optimal error estimates in a special metric are
obtained. The technique developed here can be also applied to study the convergence
of approximation methods for standard Schrödinger equation.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.190218.150718},
url = {http://global-sci.org/intro/article_detail/eajam/12812.html}
}