@Article{JCM-41-6,
author = {Qin, Hongyu and Wu, Fengyan and Zhou, Boya},
title = {Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Schrödinger Equations},
journal = {Journal of Computational Mathematics},
year = {2023},
volume = {41},
number = {6},
pages = {1305--1324},
abstract = {<p style="text-align: justify;">We present Alikhanov linearized Galerkin methods for solving the nonlinear time fractional Schrödinger equations. Unconditionally optimal estimates of the fully-discrete scheme are obtained by using the fractional time-spatial splitting argument. The convergence
results indicate that the error estimates hold without any spatial-temporal stepsize restrictions. Numerical experiments are done to verify the theoretical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2112-m2021-0113},
url = {https://global-sci.com/article/84165/alikhanov-linearized-galerkin-finite-element-methods-for-nonlinear-time-fractional-schrodinger-equations}
}