An exponentially fitted two-step method with predictor-corrector form for the solution of nonlinear or coupled Schrödinger equations

DOI10.1016/0010-4655(91)90070-2zbMath0997.65538OpenAlexW2035052130MaRDI QIDQ1366041

M. García

Publication date: 11 November 1997

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(91)90070-2

zbMATH Keywords

algorithmSchrödinger equationlinear multi-step methodsexponentially fitted two-step methodpredictor-corrector Numerov method

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Cites Work

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• A variable step method for the numerical integration of the one- dimensional Schrödinger equation
• Numerov method maximally adapted to the Schrödinger equation
• Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation
• De Vogelaere's method for the numerical integration of second-order differential equations without explicit first derivatives: Application to coupled equations arising from the Schrödinger equation
• The numerical solution of coupled differential equations arising from the Schrödinger equation
• [https://portal.mardi4nfdi.de/wiki/Publication:4162413 On de Vogelaere's Method for y � � = f(x, y)]