Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Düzce University
2016-01-01
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| Series: | Düzce Üniversitesi Bilim ve Teknoloji Dergisi |
| Online Access: | http://dergipark.gov.tr/dubited/issue/24381/258462?publisher=duzce |
| 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. |
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| ISSN: | 2148-2446 |