The global analysis on the spectral collocation method for time fractional Schrodinger equation

被引：16
|
作者：
Zheng, Minling [1 ]
Liu, Fawang [2 ]
Jin, Zhengmeng [3 ]
机构：
[1] Huzhou Univ, Sch Sci, Huzhou 313000, Peoples R China
[2] Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia
[3] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210000, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 365卷
基金：
澳大利亚研究理事会;
关键词：
Time fractional Schrodinger equation; Caputo fractional derivative; z-transform; Spectral collocation method; DISCONTINUOUS GALERKIN METHOD; FINITE-VOLUME METHOD; DIFFUSION EQUATION; NUMERICAL-SOLUTION; ELEMENT-METHOD; APPROXIMATION; STABILITY;
D O I：
10.1016/j.amc.2019.124689
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a spectral collocation method is proposed and analyzed for solving the time fractional Schrodinger equation. The space derivative is discretized using the collocation method and the time fractional derivative using Grunwald-Letnikov formulation. The stability and convergence of the full discretization scheme are analyzed based on the z-transform. The global behavior of the finite difference spectral collocation method is derived. Numerical examples show a good agreement with the theoretical analysis. (C) 2019 Elsevier Inc. All rights reserved.
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页数：15
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