Bernstein series solutions of pantograph equations using polynomial interpolation

被引：45

作者：

Isik, Osman Rasit ^{[1
]}

Guney, Zekeriya ^{[2
]}

Sezer, Mehmet ^{[1
]}

机构：

[1] Mugla Univ, Fac Sci, Dept Math, TR-48000 Mugla, Turkey

[2] Mugla Univ, Fac Educ, Dept Math, TR-48000 Mugla, Turkey

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2012年 / 18卷 / 03期

关键词：

differential equations; pantograph equations; delay differential equations; Bernstein polynomials; polynomial interpolation; DIFFERENTIAL-EQUATIONS;

D O I：

10.1080/10236198.2010.496456

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of the pantograph-type differential equations with retarded case or advanced case. In addition, the method is presented with error and stability analysis.

引用

页码：357 / 374

页数：18

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