Two optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutions

被引：0
作者：
G. A. Panopoulos
Z. A. Anastassi
T. E. Simos
机构：
[1] University of Peloponnese,Laboratory of Computer Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology
来源：
Journal of Mathematical Chemistry | 2009年 / 46卷
关键词：
Schrödinger equation; Orbital problems; Phase-lag; Initial value problems; Oscillating solution; Symmetric; Multistep; Implicit;
D O I：
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学科分类号：
摘要：
In this paper, we present two optimized eight-step symmetric implicit methods with phase-lag order ten and infinite (phase-fitted). The methods are constructed to solve numerically the radial time-independent Schrödinger equation with the use of the Woods–Saxon potential. They can also be used to integrate related IVPs with oscillating solutions such as orbital problems. We compare the two new methods to some recently constructed optimized methods from the literature. We measure the efficiency of the methods and conclude that the new method with infinite order of phase-lag is the most efficient of all the compared methods and for all the problems solved.
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页码：604 / 620
页数：16
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