Numerical solutions for 2-d fractional Schrödinger equation with the Riesz-Feller derivative

DOI10.1016/j.matcom.2017.02.006OpenAlexW2599710678MaRDI QIDQ2229105

Yanyan Li

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2017.02.006

zbMATH Keywords

John von Neumann stability analysisquantum Riesz-Feller operatortwo-dimensional space-fractional Schrödinger equationweighted average non-standard finite difference method

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (5)

Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrödinger equation with a time-independent potential ⋮ A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative ⋮ Highly accurate solutions for space-time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions ⋮ Numerical solutions of two-dimensional fractional Schrödinger equation ⋮ A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation

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