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The Runge–Kutta methods are a set of numerical methods for ordinary differential equations for the approximation of their solutions.

2 votes

Determine numerical infinity for Schrodinger equation $−\psi''(x) + x^ 2 \psi(x) = E\psi(x)$

You should maybe look at the analytical form of these solutions (here's the wikipedia page), this would probably help you to derive a relation between the energy level $n$ and the typical length of yo …
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