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...
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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 |
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| author | Bengü TÜRKYILMAZ Burcu GÜRBÜZ Mehmet SEZER |
| author_facet | Bengü TÜRKYILMAZ Burcu GÜRBÜZ Mehmet SEZER |
| author_sort | Bengü TÜRKYILMAZ |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-c6a0255ba62d4a2e8a082930a9db62e6 |
| institution | OA Journals |
| issn | 2148-2446 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Düzce University |
| record_format | Article |
| series | Düzce Üniversitesi Bilim ve Teknoloji Dergisi |
| spelling | doaj-art-c6a0255ba62d4a2e8a082930a9db62e62025-08-20T02:19:16ZengDüzce 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.gov.tr/dubited/issue/24381/258462?publisher=duzce |
| 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 |
| title | 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_short | 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 |
| url | http://dergipark.gov.tr/dubited/issue/24381/258462?publisher=duzce |
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