Regularized splitting spectral method for space-fractional logarithmic Schrödinger equation

DOI10.1016/j.apnum.2021.05.003zbMath1471.35255OpenAlexW3163563819MaRDI QIDQ2034444

Bianru Cheng, Zhen-Hua Guo

Publication date: 22 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.05.003

zbMATH Keywords

convergence ratefractional logarithmic Schrödinger equationsplitting spectral method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Implicit-explicit finite difference approximations of a semilinear heat equation with logarithmic nonlinearity ⋮ On the convergence of the Crank-Nicolson method for the logarithmic Schrödinger equation

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