A rational approximate solution for generalized pantograph-delay differential equations

被引：16

作者：

Isik, Osman Rasit ^{[1
]}

Turkoglu, Turgay ^{[2
]}

机构：

[1] Mugla Sitki Kocman Univ, Elementary Math Educ Program, Fac Educ, TR-48000 Mugla, Turkey

[2] Yerkesik IMKB Multiprogram High Sch, TR-48000 Mugla, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 08期

关键词：

pantograph equations; rational approximation; collocation method; Bernstein polynomials; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL-SOLUTION; BERNSTEIN POLYNOMIALS; OPERATIONAL MATRICES; COLLOCATION METHOD; NONLINEAR-SYSTEMS; ORDER;

D O I：

10.1002/mma.3616

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new rational approximation based on a rational interpolation and collocation method is proposed for the solutions of generalized pantograph equations. A comprehensive error analysis is provided. The first part of the error analysis gives an upper bound for the absolute error. The second part is based on residual error procedure that estimates the absolute error. Some numerical examples are given to illustrate the method. The theoretical results support the numerical results. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：2011 / 2024

页数：14

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