A hybrid method with phase-lag and derivatives equal to zero for the numerical integration of the Schrödinger equation

被引：0
作者：
A. Konguetsof
机构：
[1] Technological Education Institute of Kavala,Department of Science, School of Technological Applications
来源：
Journal of Mathematical Chemistry | 2011年 / 49卷
关键词：
Multistep methods; Explicit methods; Hybrid methods; Phase-lag; Phase-fitted; Schrödinger equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A family of hybrid methods with algebraic order eight is proposed, with phase-lag and its first four derivatives eliminated. We investigate the behavior of the new algorithm and the property of the local truncation error and a comparison with other methods leads to conclusions and remarks about its accuracy and stability. The newly created method, as well as another Numerov-type methods, are applied to the resonance problem of the radial Schrödinger equation. The eigenenergies approximations, which are obtained prove the superiority of the new two-step method.
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页码：1330 / 1356
页数：26
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