Collection-based numerical method for multi-order fractional integro-differential equations
In this paper, the standard collocation approach is used to solve multi-order fractional integro-differential equations using Caputo sense. We obtain the integral form of the problem and transform it into a system of linear alge-braic equations using standard collocation points. The algebraic equati...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2023-12-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_43824_4ece47a2046a6ce53a3e6f618f7fc82a.pdf |
| _version_ | 1827781616755277824 |
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| author | G. Ajileye T. Oyedepo L. Adiku J. Sabo |
| author_facet | G. Ajileye T. Oyedepo L. Adiku J. Sabo |
| author_sort | G. Ajileye |
| collection | DOAJ |
| description | In this paper, the standard collocation approach is used to solve multi-order fractional integro-differential equations using Caputo sense. We obtain the integral form of the problem and transform it into a system of linear alge-braic equations using standard collocation points. The algebraic equations are then solved using the matrix inversion method. By substituting the algebraic equation solutions into the approximate solution, the numerical result is obtained. We establish the method’s uniqueness as well as the convergence of the method. Numerical examples show that the developed method is efficient in problem-solving and competes favorably with the existing method. |
| first_indexed | 2024-03-11T15:21:13Z |
| format | Article |
| id | doaj.art-874e903c24324f909f1ee1a667bc4e23 |
| institution | Directory Open Access Journal |
| issn | 2423-6977 2423-6969 |
| language | English |
| last_indexed | 2024-03-11T15:21:13Z |
| publishDate | 2023-12-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj.art-874e903c24324f909f1ee1a667bc4e232023-10-28T06:44:33ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692023-12-0113Issue 460462610.22067/ijnao.2023.81586.123243824Collection-based numerical method for multi-order fractional integro-differential equationsG. Ajileye0T. Oyedepo1L. Adiku2J. Sabo3Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.Federal College of Dental Technology and Therapy, Enugu, Nigeria.Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.Department of Mathematics, Adamawa State University, Mubi, Nigeria.In this paper, the standard collocation approach is used to solve multi-order fractional integro-differential equations using Caputo sense. We obtain the integral form of the problem and transform it into a system of linear alge-braic equations using standard collocation points. The algebraic equations are then solved using the matrix inversion method. By substituting the algebraic equation solutions into the approximate solution, the numerical result is obtained. We establish the method’s uniqueness as well as the convergence of the method. Numerical examples show that the developed method is efficient in problem-solving and competes favorably with the existing method.https://ijnao.um.ac.ir/article_43824_4ece47a2046a6ce53a3e6f618f7fc82a.pdfintegro-differential equationscollocation methodfredholm-volterra equationsmulti- order |
| spellingShingle | G. Ajileye T. Oyedepo L. Adiku J. Sabo Collection-based numerical method for multi-order fractional integro-differential equations Iranian Journal of Numerical Analysis and Optimization integro-differential equations collocation method fredholm-volterra equations multi- order |
| title | Collection-based numerical method for multi-order fractional integro-differential equations |
| title_full | Collection-based numerical method for multi-order fractional integro-differential equations |
| title_fullStr | Collection-based numerical method for multi-order fractional integro-differential equations |
| title_full_unstemmed | Collection-based numerical method for multi-order fractional integro-differential equations |
| title_short | Collection-based numerical method for multi-order fractional integro-differential equations |
| title_sort | collection based numerical method for multi order fractional integro differential equations |
| topic | integro-differential equations collocation method fredholm-volterra equations multi- order |
| url | https://ijnao.um.ac.ir/article_43824_4ece47a2046a6ce53a3e6f618f7fc82a.pdf |
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