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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Bibliographic Details
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
Description
Summary: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.
ISSN:2148-2446

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