Next Article in Journal
An Extended Heuristic Algorithm to Settle Reacting Objects on a Planar Surface
Previous Article in Journal
Exp-Function Method for Solving Nonlinear Evolution Equations
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
MCA
Volume 16
Issue 1
10.3390/mca16010267
mca-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Numerical Approach of High-Order Linear Delay Difference Equations with Variable Coefficients in Terms of Laguerre Polynomials

by
Burcu Gürbüz
*,
Mustafa Gülsu
* and
Mehmet Sezer
*
Department of Mathematics Mugla University, Mugla, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(1), 267-278; https://doi.org/10.3390/mca16010267
Published: 1 April 2011
Versions Notes

Abstract

This paper presents a numerical method for the approximate solution of mthorder 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.
Keywords: Laguerre Polynomials and Series; Delay Difference Equations; Laguerre Collocation Method Laguerre Polynomials and Series; Delay Difference Equations; Laguerre Collocation Method

Share and Cite

MDPI and ACS Style

Gürbüz, B.; Gülsu, M.; Sezer, M. Numerical Approach of High-Order Linear Delay Difference Equations with Variable Coefficients in Terms of Laguerre Polynomials. Math. Comput. Appl. 2011, 16, 267-278. https://doi.org/10.3390/mca16010267

AMA Style

Gürbüz B, Gülsu M, Sezer M. Numerical Approach of High-Order Linear Delay Difference Equations with Variable Coefficients in Terms of Laguerre Polynomials. Mathematical and Computational Applications. 2011; 16(1):267-278. https://doi.org/10.3390/mca16010267

Chicago/Turabian Style

Gürbüz, Burcu, Mustafa Gülsu, and Mehmet Sezer. 2011. "Numerical Approach of High-Order Linear Delay Difference Equations with Variable Coefficients in Terms of Laguerre Polynomials" Mathematical and Computational Applications 16, no. 1: 267-278. https://doi.org/10.3390/mca16010267

APA Style

Gürbüz, B., Gülsu, M., & Sezer, M. (2011). Numerical Approach of High-Order Linear Delay Difference Equations with Variable Coefficients in Terms of Laguerre Polynomials. Mathematical and Computational Applications, 16(1), 267-278. https://doi.org/10.3390/mca16010267

Article Metrics

Back to TopTop