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Laguerre polynomial approach for solving linear delay difference equations

delete2011-04-01
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PRE
AI
M
Mustafa Gülsu *
B
Burcu Gürbüz
Y
Yalçın Öztürk
M
Mehmet Sezer
DOI:10.1016/j.amc.2011.01.112delete
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摘要

摘要

En 中文
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.
Keyword:
Laguerre polynomials and series
Delay difference equations
Laguerre collocation method
Polynomial approximations
Collocation points
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期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

M
Mugla Sitki Kocman University
学者数:
1.9K
论文数: 1.7K
被引数: 11
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