A Jacobi-Galerkin Spectral Method for Computing the Ground and First Excited States of Nonlinear Fractional Schrödinger Equation

DOI10.4208/eajam.140319.180719zbMath1468.65166OpenAlexW3015096587MaRDI QIDQ4986598

Lizhen Chen, Ying Ma

Publication date: 27 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.140319.180719

zbMATH Keywords

ground statefirst excited statefractional Schrödinger equationsemi-implicit Euler method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator

Cites Work

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• Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
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• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates
• An Augmented-RBF Method for Solving Fractional Sturm--Liouville Eigenvalue Problems

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