A Zero-Dissipative Runge-Kutta-Nystrom Method with Minimal Phase-Lag

被引：6

作者：

Senu, Norazak ^{[1
]}

Suleiman, Mohamed ^{[1
]}

Ismail, Fudziah ^{[1
]}

Othman, Mohamed ^{[2
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Fac Sci, Upm Serdang 43400, Selangor, Malaysia

[2] Univ Putra Malaysia, Dept Commun Technol & Network, Fac Comp Sci & Informat Technol, Upm Serdang 43400, Selangor, Malaysia

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2010年 / 2010卷

关键词：

NUMERICAL-INTEGRATION;

D O I：

10.1155/2010/591341

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An explicit Runge-Kutta-Nystrom method is developed for solving second-order differential equations of the form q '' = f(t, q) where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3HS, RKN3V, RKN4G, and RKN4C methods show the preciseness and effectiveness of the method developed.

引用

页数：15

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