@Article{EAJAM-8-4,
author = {},
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 = {https://global-sci.com/article/82674/optimal-error-estimates-in-numerical-solution-of-time-fractional-schrodinger-equations-on-unbounded-domains}
}