High Order Explicit Hybrid Methods for Solving Second-Order Ordinary Differential Equations

被引：0

作者：

Samat, F. ^{[1
]}

Ismail, F. ^{[1
]}

Suleiman, M. ^{[1
]}

机构：

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

来源：

SAINS MALAYSIANA | 2012年 / 41卷 / 02期

关键词：

Algebraic order; explicit hybrid method; second-order ordinary differential equations; 2-STEP METHODS; OSCILLATING SOLUTIONS; INTEGRATION; NUMEROV;

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：

Two explicit hybrid methods with algebraic order seven for the numerical integration of second-order ordinary differential equations of the form y '' = f (x, y) are developed. The algebraic order of these methods is the highest in comparison with other explicit hybrid methods of the same class. Numerical comparisons carried out show the advantage of the new methods.

引用

页码：253 / 260

页数：8

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