Numerical analysis for time-fractional Schrödinger equation on two space dimensions

Numerical analysis for time-fractional Schrödinger equation on two space dimensions

Abstract In this paper, we study the numerical methods for solving the time-fractional Schrödinger equation (TFSE) with Caputo or Riemann–Liouville fractional derivative. The numerical schemes are implemented by using the L1 scheme in time direction and Fourier–Galerkin/Legendre-Galerkin spectral me...

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Bibliographic Details
Main Authors: Jun Zhang, JinRong Wang, Yong Zhou
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Advances in Difference Equations
Subjects:
Schrödinger equation
Caputo
Riemann–Liouville
Fourier-spectral method
Error estimate
Online Access:https://doi.org/10.1186/s13662-020-2525-2

Internet

https://doi.org/10.1186/s13662-020-2525-2

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