Bernstein Collocation Method for Solving Linear Differential Equations

被引：0

作者：

Akyuz-Dascioglu, Aysegul ^{[1
]}

Acar, Nese Isler ^{[2
]}

机构：

[1] Pamukkale Univ, Dept Math, TR-20070 Denizli, Turkey

[2] Mehmet Akif Ersoy Univ, Dept Math, TR-15030 Burdur, Turkey

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2013年 / 26卷 / 04期

关键词：

Bernstein polynomial approximation; Linear differential equations; Collocation method;

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：

In this study, a new collocation method based on Bernstein polynomials defined on the interval [a, b] is introduced for approximate solutions of initial and boundary value problems involving higher order linear differential equations with variable coefficients. Error analysis of the method is demonstrated. Some numerical solutions are given to illustrate the accuracy, efficiency and implementation of the method, and the results of the proposed method are also compared with the other methods in several examples.

引用

页码：527 / 534

页数：8

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