Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation

Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation

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The main aim of this study is to apply the Morgan-Voyce polynomials for the solution of high-order linear differential difference equations with functional arguments under initial boundary conditions. The technique we have used is essentially based on the truncated Morgan-Voyce series and its matrix...

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Main Authors: Bengü TÜRKYILMAZ, Burcu GÜRBÜZ, Mehmet SEZER
Format: Article
Language:English
Published: Düzce University 2016-01-01
Series:Düzce Üniversitesi Bilim ve Teknoloji Dergisi
Subjects:
Morgan- Voyce polynomials
Differential-difference equations
Collocation method
Matrix method
Error estimation
Residual function
Online Access:http://dergipark.org.tr/dubited/issue/24381/258462?publisher=duzce
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spelling doaj-051b22538b5449298ef0be5c7cfeff3b2020-11-25T01:04:26ZengDüzce UniversityDüzce Üniversitesi Bilim ve Teknoloji Dergisi2148-24462016-01-01410097Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error EstimationBengü TÜRKYILMAZBurcu GÜRBÜZMehmet SEZERThe main aim of this study is to apply the Morgan-Voyce polynomials for the solution of high-order linear differential difference equations with functional arguments under initial boundary conditions. The technique we have used is essentially based on the truncated Morgan-Voyce series and its matrix representations along with collocation points. Also, by using the Mean-Value Theorem and residual function, an efficient error estimation technique is proposed and some illustrative examples are presented to demonstrate the validity and applicability of the method.http://dergipark.org.tr/dubited/issue/24381/258462?publisher=duzceMorgan- Voyce polynomialsDifferential-difference equationsCollocation methodMatrix methodError estimationResidual function
collection DOAJ
language English
format Article
sources DOAJ
author Bengü TÜRKYILMAZ
Burcu GÜRBÜZ
Mehmet SEZER
spellingShingle Bengü TÜRKYILMAZ
Burcu GÜRBÜZ
Mehmet SEZER
Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation
Düzce Üniversitesi Bilim ve Teknoloji Dergisi
Morgan- Voyce polynomials
Differential-difference equations
Collocation method
Matrix method
Error estimation
Residual function
author_facet Bengü TÜRKYILMAZ
Burcu GÜRBÜZ
Mehmet SEZER
author_sort Bengü TÜRKYILMAZ
title Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation
title_short Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation
title_full Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation
title_fullStr Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation
title_full_unstemmed Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation
title_sort morgan-voyce polynomial approach for solution of high-order linear differential-difference equations with residual error estimation
publisher Düzce University
series Düzce Üniversitesi Bilim ve Teknoloji Dergisi
issn 2148-2446
publishDate 2016-01-01
description The main aim of this study is to apply the Morgan-Voyce polynomials for the solution of high-order linear differential difference equations with functional arguments under initial boundary conditions. The technique we have used is essentially based on the truncated Morgan-Voyce series and its matrix representations along with collocation points. Also, by using the Mean-Value Theorem and residual function, an efficient error estimation technique is proposed and some illustrative examples are presented to demonstrate the validity and applicability of the method.
topic Morgan- Voyce polynomials
Differential-difference equations
Collocation method
Matrix method
Error estimation
Residual function
url http://dergipark.org.tr/dubited/issue/24381/258462?publisher=duzce
work_keys_str_mv AT benguturkyilmaz morganvoycepolynomialapproachforsolutionofhighorderlineardifferentialdifferenceequationswithresidualerrorestimation
AT burcugurbuz morganvoycepolynomialapproachforsolutionofhighorderlineardifferentialdifferenceequationswithresidualerrorestimation
AT mehmetsezer morganvoycepolynomialapproachforsolutionofhighorderlineardifferentialdifferenceequationswithresidualerrorestimation
_version_ 1725198166214574080

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