Numerical Solutions of liner Volterra Integro-Differential Equations of second kind by Spline collocation Function
In this article, an iterative numerical technique is suggested for finding the approximate solutions of some Volterra integro-differential equations (VIDEs). Basic idea of proposed method depends on approximating the unknown solution by spline function of degree seventh and using four collocation po...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Tishreen University
2019-07-01
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| Series: | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| Online Access: | http://journal.tishreen.edu.sy/index.php/bassnc/article/view/8822 |
| _version_ | 1797418216517009408 |
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| author | سليمان محمود سامي انجرو حسن ضاهر |
| author_facet | سليمان محمود سامي انجرو حسن ضاهر |
| author_sort | سليمان محمود |
| collection | DOAJ |
| description | In this article, an iterative numerical technique is suggested for finding the approximate solutions of some Volterra integro-differential equations (VIDEs). Basic idea of proposed method depends on approximating the unknown solution by spline function of degree seventh and using four collocation points.
The study shows that the spline solutions of VIDEs are existent and unique, also applied method to test problem is stable and convergent, the convergence rate is seventh with a truncation error .
Numerical results are given to illustrate the accuracy and efficiency of the method. Comparisons of the results explain the high accuracy of the proposed spline solution.
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| first_indexed | 2024-03-09T06:29:23Z |
| format | Article |
| id | doaj.art-df628b07ce9a457ea61e2e049bf8cebd |
| institution | Directory Open Access Journal |
| issn | 2079-3057 2663-4252 |
| language | Arabic |
| last_indexed | 2024-03-09T06:29:23Z |
| publishDate | 2019-07-01 |
| publisher | Tishreen University |
| record_format | Article |
| series | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| spelling | doaj.art-df628b07ce9a457ea61e2e049bf8cebd2023-12-03T11:13:18ZaraTishreen Universityمجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية2079-30572663-42522019-07-01413Numerical Solutions of liner Volterra Integro-Differential Equations of second kind by Spline collocation Functionسليمان محمودسامي انجروحسن ضاهرIn this article, an iterative numerical technique is suggested for finding the approximate solutions of some Volterra integro-differential equations (VIDEs). Basic idea of proposed method depends on approximating the unknown solution by spline function of degree seventh and using four collocation points. The study shows that the spline solutions of VIDEs are existent and unique, also applied method to test problem is stable and convergent, the convergence rate is seventh with a truncation error . Numerical results are given to illustrate the accuracy and efficiency of the method. Comparisons of the results explain the high accuracy of the proposed spline solution. http://journal.tishreen.edu.sy/index.php/bassnc/article/view/8822 |
| spellingShingle | سليمان محمود سامي انجرو حسن ضاهر Numerical Solutions of liner Volterra Integro-Differential Equations of second kind by Spline collocation Function مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| title | Numerical Solutions of liner Volterra Integro-Differential Equations of second kind by Spline collocation Function |
| title_full | Numerical Solutions of liner Volterra Integro-Differential Equations of second kind by Spline collocation Function |
| title_fullStr | Numerical Solutions of liner Volterra Integro-Differential Equations of second kind by Spline collocation Function |
| title_full_unstemmed | Numerical Solutions of liner Volterra Integro-Differential Equations of second kind by Spline collocation Function |
| title_short | Numerical Solutions of liner Volterra Integro-Differential Equations of second kind by Spline collocation Function |
| title_sort | numerical solutions of liner volterra integro differential equations of second kind by spline collocation function |
| url | http://journal.tishreen.edu.sy/index.php/bassnc/article/view/8822 |
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