High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation

被引：0

作者：

Ibraheem Alolyan

T. E. Simos

机构：

[1] King Saud University,Department of Mathematics, College of Sciences

[2] University of Peloponnese,Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology

来源：

Journal of Mathematical Chemistry | 2010年 / 48卷

关键词：

Numerical solution; Schrödinger equation; Multistep methods; Hybrid methods; Interval of periodicity; -stability; Phase-lag; Phase-fitted;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present paper we develop a high algebraic order multistep method. The characteristic property of the new proposed method is the requirement of vanishing the phase-lag and its derivatives. The new method is applied for the approximate solution of the radial Schrödinger equation. The efficiency of the new methodology is proved via error analysis and numerical applications.

引用

页码：925 / 958

页数：33

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