A four-step exponentially fitted method for the numerical solution of the Schrödinger equation

被引：0
|
作者：
T. E. Simos
机构：
[1] University of Peloponnese,Department of Computer Science and Technology, Faculty of Sciences and Technology, Laboratory of Computational Sciences
[2] Amfithea - Paleon Faliron,undefined
来源：
Journal of Mathematical Chemistry | 2006年 / 40卷
关键词：
numerical solution; Schrödinger equation; linear multistep methods; stability; exponential fitting; trigonometric fitting;
D O I：
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学科分类号：
摘要：
In this paper, we present an exponentially fitted four-step method for the numerical solution of the radial Schrödinger equation. More specifically we present a method that integrates exactly the functions {exp ( ±wx) , x {exp ( ±wx)}. We illustrated the efficiency of our newly produced scheme against well known methods, with excellent results. The numerical results showed that our method is considerably more efficient compared to well known methods used for the numerical solution of resonance problem of the radial Schrödinger equation.
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页码：305 / 318
页数：13
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