Laguerre polynomial approach for solving linear delay difference equations

被引：53

作者：

Gulsu, Mustafa ^{[1
]}

Gurbuz, Burcu ^{[1
]}

Ozturk, Yalcin ^{[1
]}

Sezer, Mehmet ^{[1
]}

机构：

[1] Mugla Univ, Fac Sci, Dept Math, Mugla, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 15期

关键词：

Laguerre polynomials and series; Delay difference equations; Laguerre collocation method; Polynomial approximations; Collocation points; TRANSFORM METHOD; NEURAL-NETWORKS; OSCILLATION;

D O I：

10.1016/j.amc.2011.01.112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a numerical method for the approximate solution of mth-order linear delay difference equations with variable coefficients under the mixed conditions in terms of Laguerre polynomials. The aim of this article is to present an efficient numerical procedure for solving mth-order linear delay difference equations with variable coefficients. Our method depends mainly on a Laguerre series expansion approach. This method transforms linear delay difference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system Maple. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：6765 / 6776

页数：12

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