A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation

被引：171

作者：

Tohidi, E. ^{[1
]}

Bhrawy, A. H. ^{[2
,3
]}

Erfani, K. ^{[1
]}

机构：

[1] Islamic Azad Univ, Zahedan Branch, Dept Math, Zahedan, Iran

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

[3] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 06期

关键词：

Functional differential equations; Pantograph equation; Collocation method; Direct method; Operational matrix; Bernoulli polynomials; DIFFERENTIAL-EQUATIONS; POLYNOMIAL APPROACH; FAULHABER; OPERATORS;

D O I：

10.1016/j.apm.2012.09.032

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a direct solution technique for solving the generalized pantograph equation with variable coefficients subject to initial conditions, using a collocation method based on Bernoulli operational matrix of derivatives. Only small dimension of Bernoulli operational matrix is needed to obtain a satisfactory result. Numerical results with comparisons are given to confirm the reliability of the proposed method for generalized pantograph equations. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：4283 / 4294

页数：12

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