Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation

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摘要

We present here some accurate explicit methods for the numerical integration of the radial Schrödinger equation. The formulae considered contain free parameters which are defined in order to integrate exponential functions. Numerical results also indicate that the new methods are much more accurate than other explicit Numerov-type wellknown methods.

论文关键词:Schrödinger equation,Resonance problem,Exponentially-fitted methods,Explicit Numerov-type methods

论文评审过程:Available online 23 February 1999.

论文官网地址:https://doi.org/10.1016/S0096-3003(97)10163-1