An exponentially fitted eighth-order method for the numerical solution of the Schrodinger equation

被引：20

作者：

Simos, TE ^{[1
]}

机构：

[1] Democritus Univ Thrace, Sch Engn, Dept Civil Engn, Sect Math, GR-67100 Xanthi, Greece

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 108卷 / 1-2期

关键词：

Schrodinger equation; exponentially fitted method; hybrid method; scattering problem; coupled differential equation;

D O I：

10.1016/S0377-0427(99)00109-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An eighth algebraic order exponentially fitted method is developed for the numerical integration of the Schrodinger equation. The formula considered contains certain free parameters which allow it to be fitted automatically to exponential functions. An comparative error analysis is also given. Numerical and theoretical results indicate that the new method is much more efficient than other classical and exponentially fitted methods. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：177 / 194

页数：18

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