A 4(3) Pair Runge-Kutta-Nystrom Method for Periodic Initial Value Problems

被引：0

作者：

Senu, Norazak ^{[1
]}

Suleiman, Mohamed ^{[1
]}

Ismail, Fudziah ^{[1
]}

Othman, Mohamed ^{[2
]}

机构：

[1] Univ Putra Malaysia, Fak Sains, Jabatan Matemat, Upm Serdang 43400, Selangor, Malaysia

[2] Univ Putra Malaysia, Fak Sains Komputer Dan Teknol Maklumat, Jabatan Teknol Komunikasi Dan Rangkaian, Upm Serdang 43400, Selangor, Malaysia

来源：

SAINS MALAYSIANA | 2010年 / 39卷 / 04期

关键词：

Oscillatory solutions; Phase-lag; Runge-Kutta-Nystrom methods; NUMERICAL-INTEGRATION; OSCILLATING SOLUTIONS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nystrom (RKN) method was developed to integrate second-order differential equations of the form y '' = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a 'small' principal local truncation error coefficient. The stability analysis of the method derived is also given. Numerical comparisons of this new method with RK4(3) and RKN4(3) D methods show its clear advantage in terms of function evaluations and computation time.

引用

页码：639 / 646

页数：8

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