A generalized Numerov method for linear second-order differential equations involving a first derivative term

被引：8

作者：

Tselyaev, VI ^{[1
]}

机构：

[1] St Petersburg State Univ, VA Fock Inst Phys, Dept Nucl Phys, St Petersburg 198504, Russia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 170卷 / 01期

关键词：

numerov method; Runge-Kutta method; Hartree-Fock calculations;

D O I：

10.1016/j.cam.2003.12.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Numerov method for linear second-order differential equations is generalized to include equations containing a first derivative term. The method presented has the same degree of accuracy as the conventional Numerov method. The accuracy of the method is analysed in a limiting case and in the framework of the numerical experiment in comparison with the Runge-Kutta method and with another modifications of the Numerov method. A general scheme of the application to the numerical solution of the Hartree-Fock equations is considered. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：103 / 120

页数：18

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