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

DOI10.1002/mma.5459zbMath1460.35310OpenAlexW2907255180MaRDI QIDQ5378479

JinRong Wang, Shimin Lin, Jun Zhang

Publication date: 29 May 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5459

zbMATH Keywords

Schrödinger equationserror estimateconservationFourier-Galerkin methodCrank--Nicolson methodspace-fractional order

Mathematics Subject Classification ID

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) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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