A new four-step Runge-Kutta type method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation

DOI10.1007/S10910-013-0156-5zbMath1321.65114OpenAlexW2119537764MaRDI QIDQ2517606

Ibraheem Alolyan, Theodore E. Simos

Publication date: 26 August 2015

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-013-0156-5

zbMATH Keywords

Schrödinger equationmultistep methodsRunge-Kutta type methodsderivatives of the phase-laginterval of periodicityphase-fitted

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (7)

A new four-step hybrid type method with vanished phase-lag and its first derivatives for each level for the approximate integration of the Schrödinger equation ⋮ An explicit four-step method with vanished phase-lag and its first and second derivatives ⋮ A new explicit hybrid four-step method with vanished phase-lag and its derivatives ⋮ An explicit linear six-step method with vanished phase-lag and its first derivative ⋮ A family of explicit linear six-step methods with vanished phase-lag and its first derivative ⋮ A new explicit four-step method with vanished phase-lag and its first and second derivatives ⋮ Algorithm for the development of families of numerical methods based on phase-lag Taylor series

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