@Article{JCM-41-1305, author = {Qin , HongyuWu , 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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2112-m2021-0113}, url = {http://global-sci.org/intro/article_detail/jcm/22113.html} }