Structure-preserving numerical methods for the fractional Schrödinger equation

DOI10.1016/j.apnum.2018.03.008zbMath1393.65055OpenAlexW2791739651MaRDI QIDQ1748061

Pengde Wang, Cheng-Ming Huang

Publication date: 2 May 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.03.008

zbMATH Keywords

conservation lawHamiltonian systemfractional Laplacianfractional Schrödinger equationsymplectic methodgeneralized multi-symplectic method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Fractional partial differential equations (35R11)

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Uses Software

• Matlab

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