An improved collocation method for multi-dimensional space–time variable-order fractional Schrödinger equations

2016/09/21 by A. H. Bhrawy, A.H. Bhrawy, Mahmoud A. Zaky +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Collocation (remote sensing) #Collocation method #Differential equation #Fractional Differential Equations Solutions #Fractional calculus #Jacobi polynomials #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Numerical analysis #Numerical methods in engineering #Ordinary differential equation #Orthogonal polynomials #Space (punctuation) #Spectral method #Variable (mathematics)

paper · doi:10.1016/j.apnum.2016.09.009

openalex publication_date 2016/09/21 · crossref created 2016/09/21 · crossref issued 2017/01/01 · crossref published 2017/01/01 · crossref published-print 2017/01/01 · crossref deposited 2019/11/02 · openalex created_date 2025/10/10 · crossref indexed 2026/05/27 · openalex updated_date 2026/07/28

Citations

• Lévy processes and Schrödinger equation
• Fractional Schrödinger equation
• Some physical applications of fractional Schrödinger equation
• Quasi-soliton and other behaviour of the nonlinear cubic-quintic Schrödinger equation
• Generalized fractional Schrödinger equation with space-time fractional derivatives
• Time fractional Schrödinger equation

Cited by

• Fractional calculus [wikipedia]