Numerov’s method is one of the most widely used algorithms for solving second-order ordinary differential equations of the form y’’ = 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.
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Vigo-Aguiar, J., Ramos, H. A variable-step Numerov method for the numerical solution of the Schrödinger equation. J Math Chem 37, 255–262 (2005). https://doi.org/10.1007/s10910-004-1467-3
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DOI: https://doi.org/10.1007/s10910-004-1467-3