New Runge-Kutta type symmetric two step finite difference pair with improved properties for second order initial and/or boundary value problems

DOI10.1007/s10910-018-0930-5zbMath1406.81025OpenAlexW2825046069MaRDI QIDQ1713974

Ruru Hao, Theodore E. Simos

Publication date: 30 January 2019

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

Full work available at URL: https://doi.org/10.1007/s10910-018-0930-5

zbMATH Keywords

initial value problemsSchrödinger equationphase-lagsymmetrichybridmultistepderivative of the phase-lagoscillating solution

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Computational methods for problems pertaining to quantum theory (81-08) Molecular physics (81V55) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Finite difference and finite volume methods for ordinary differential equations (65L12)

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