An efficient numerical approach to solve Schrödinger equations with space fractional derivative-Reference-Cited by-同舟云学术

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An efficient numerical approach to solve Schrödinger equations with space fractional derivative

Published:2019-01-04 Issue:5 Volume:42 Page:1596-1608
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Zhang Jun¹²,Lin Shimin³,Wang JinRong¹⁴^ORCID

Affiliation:

1. Department of MathematicsGuizhou University Guiyang China

2. Computational Mathematics Research CenterGuizhou University of Finance and Economics Guiyang China

3. Department of ScienceJimei University Xiamen China

4. School of Mathematical SciencesQufu Normal University Qufu China

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.5459

Reference47 articles.

1. Fractional Calculus and Its Applications

2. Fractional Calculus and Waves in Linear Viscoelasticity

3. On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schr�dinger equation

4. A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method

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1. A reduced-order Jacobi spectral collocation method for solving the space-fractional FitzHugh–Nagumo models with application in myocardium;Engineering Computations;2023-11-14

2. Discrete almost maximal regularity and stability for fractional differential equations in L([0, 1], Ω);Applied Mathematics and Computation;2021-01

3. Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium;Mathematical Problems in Engineering;2020-09-25

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