New spectral collocation algorithms for one- and two-dimensional Schrödinger equations with a Kerr law nonlinearity
DOI10.1186/S13662-016-0752-3zbMath1422.65278OpenAlexW2270093004WikidataQ59480507 ScholiaQ59480507MaRDI QIDQ1796278
Ali H. Bhrawy, Mohamed A. Abdelkawy, Fouad Mallawi
Publication date: 17 October 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-016-0752-3
collocation methodKerr law nonlinearityone-dimensional Schrödinger equationsGauss-type quadraturestwo-dimensional space Schrödinger equations
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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