Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation

DOI10.1155/2009/584718zbMath1178.65096OpenAlexW2072311810WikidataQ58647502 ScholiaQ58647502MaRDI QIDQ1040139

Ali Sirma, Allaberen Ashyralyev

Publication date: 23 November 2009

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227258

zbMATH Keywords

stabilitynumerical examplesHilbert spaceSchrödinger equationGauss eliminationnonlocal boundary value problemCrank-Nicolson difference schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Modified Crank-Nicholson difference schemes for ultra-parabolic equations ⋮ Determination of a control parameter for the difference Schrödinger equation

Cites Work

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