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A variable-step Numerov method for the numerical solution of the Schrödinger equation. (English) Zbl 1070.81513
Summary: Numerovs method is one of the most widely used algorithms for solving second-order ordinary differential equations of the form \(y^{\prime\prime} = f(x,y)\). The one-dimensional time-independent Schrödinger equation is a particular example of this type of equation. In this article we present a variable-step Numerov method for the numerical solution of the Schrödinger equation.

MSC:
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81V55 Molecular physics
81-08 Computational methods for problems pertaining to quantum theory
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[9] H. Ramos, J. Vigo-Aguiar, Variable step-size Störmer?Cowell methods, Math. Model. Comput. (to appear). · Zbl 1032.65519
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