An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method
The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem int...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2018-09-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2483 |
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| author | Baghdad Science Journal |
| author_facet | Baghdad Science Journal |
| author_sort | Baghdad Science Journal |
| collection | DOAJ |
| description | The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique. |
| format | Article |
| id | doaj-art-cfc7947d9a954379a921f5d75c01b1b6 |
| institution | Matheson Library |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2018-09-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-cfc7947d9a954379a921f5d75c01b1b62025-08-02T19:54:44ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862018-09-0115310.21123/bsj.15.3.344-351An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation MethodBaghdad Science JournalThe aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2483Collocation Method, Fractional derivative, Jacobi polynomial, Volterra-Fredholm integro-differential equations of fractional order. |
| spellingShingle | Baghdad Science Journal An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method مجلة بغداد للعلوم Collocation Method, Fractional derivative, Jacobi polynomial, Volterra-Fredholm integro-differential equations of fractional order. |
| title | An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method |
| title_full | An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method |
| title_fullStr | An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method |
| title_full_unstemmed | An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method |
| title_short | An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method |
| title_sort | efficient numerical method for solving volterra fredholm integro differential equations of fractional order by using shifted jacobi spectral collocation method |
| topic | Collocation Method, Fractional derivative, Jacobi polynomial, Volterra-Fredholm integro-differential equations of fractional order. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2483 |
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