Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials

被引：44

作者：

Javadi, Shahnam ^{[1
]}

Babolian, Esmail ^{[1
]}

Taheri, Zeinab ^{[1
]}

机构：

[1] Kharazmi Univ, Fac Math Sci & Comp, 50 Taleghani Ave, Tehran 1561836314, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 303卷

关键词：

Shifted orthonormal Bernstein polynomials (SOBPs); Operational matrices; Pantograph equations; Condition numbers; Error analysis; DELAY-DIFFERENTIAL EQUATIONS; RUNGE-KUTTA METHODS; LEG THETA-METHODS; NUMERICAL-SOLUTION; OPERATIONAL MATRIX; COLLOCATION METHOD; STABILITY ANALYSIS;

D O I：

10.1016/j.cam.2016.02.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce Shifted Orthonormal Bernstein Polynomials (SOBPs) and derive the operational matrices of integration and delays for these polynomials. Then, we apply them to convert the pantograph equations to a system of linear equations. An important property of this method is that the condition number of the coefficient matrix of the system is small which confirms that our method is stable. Error analysis and comparison with other methods are given to confirm the validity, efficiency and applicability of the proposed method. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：1 / 14

页数：14

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