Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Schrödinger Equations
Year: 2023
Author: Hongyu Qin, Fengyan Wu, Boya Zhou
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2112-m2021-0113
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 6 : pp. 1305–1324
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Fractional Grönwall type inequality Nonlinear time-fractional Schrödinger equation Error analysis.
Author Details
Hongyu Qin Email
Fengyan Wu Email
Boya Zhou Email
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