New Seven-Step Numerical Method for Direct Solution of Fourth Order Ordinary Differential Equations

被引：10

作者：

Omar, Zurni ^{[1
]}

Kuboye, John Olusola ^{[1
]}

机构：

[1] Univ Utara Malaysia, Dept Math, Sch Quantitat Sci, Sintok 06010, Kedah, Malaysia

来源：

JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES | 2016年 / 48卷 / 02期

关键词：

block method; collocation; direct solution; interpolation; ordinary differential equations; seven-step;

D O I：

10.5614/j.math.fund.sci.2015.48.2.1

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 numerical method for solving fourth order ordinary differential equations directly is proposed in this paper. Interpolation and collocation were employed in developing this method using seven steps. The use of the approximated power series as an interpolation equation was adopted in deriving the method. The basic properties of the new method such as zero-stability, consistency, convergence and order are established. The numerical results indicate that the new method gives better accuracy than the existing methods when it is applied to fourth ordinary differential equations.

引用

页码：94 / 105

页数：12

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