Polynomial collocation method for initial value problem of mixed integro-differential equations
This paper presents the development and implementation of a numerical method forthe solution of one dimensional Mixed Fredholm Volterra Intergro-Differential Equations(MFVIDEs). The new technique transformed MFVIDEs into an integral equation whichis then approximated using a polynomial collocation m...
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2023-06-01
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| Series: | Mathematics and Computational Sciences |
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| Online Access: | https://mcs.qut.ac.ir/article_703978_0bb8a2a8573322eacb66bc2918930687.pdf |
| _version_ | 1797242693166825472 |
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| author | Johnson Adekunle Osilagun Adetola Olaide Adesanya Timothy Ashibel Anake Samuel Adamu |
| author_facet | Johnson Adekunle Osilagun Adetola Olaide Adesanya Timothy Ashibel Anake Samuel Adamu |
| author_sort | Johnson Adekunle Osilagun |
| collection | DOAJ |
| description | This paper presents the development and implementation of a numerical method forthe solution of one dimensional Mixed Fredholm Volterra Intergro-Differential Equations(MFVIDEs). The new technique transformed MFVIDEs into an integral equation whichis then approximated using a polynomial collocation method. Standard collocation pointsare then used to convert the problem into a system of algebraic equations. Some numericalexamples are used to test the efficiency and accuracy of the method. The results showthat the new method is efficient, accurate and easy to implement. |
| first_indexed | 2024-03-08T05:36:00Z |
| format | Article |
| id | doaj.art-859a3bc7b20d4584b53bf154c0dd29a5 |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-04-24T18:43:16Z |
| publishDate | 2023-06-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-859a3bc7b20d4584b53bf154c0dd29a52024-03-27T09:03:19ZengQom University of TechnologyMathematics and Computational Sciences2717-27082023-06-014211210.30511/mcs.2023.1972559.1095703978Polynomial collocation method for initial value problem of mixed integro-differential equationsJohnson Adekunle Osilagun0Adetola Olaide Adesanya1Timothy Ashibel Anake2Samuel Adamu3Department of Mathematics, Faculty of Science, University of Lagos, Lagos, NigeriaDepartment of Mathematics, Caleb University, Imota, Lagos, NigeriaDepartment of Mathematics, Covenant University, Canaan Land, Ota, Ogun State, NigeriaDepartment of Mathematics, Nigerian Army University, Biu, Borno State, NigeriaThis paper presents the development and implementation of a numerical method forthe solution of one dimensional Mixed Fredholm Volterra Intergro-Differential Equations(MFVIDEs). The new technique transformed MFVIDEs into an integral equation whichis then approximated using a polynomial collocation method. Standard collocation pointsare then used to convert the problem into a system of algebraic equations. Some numericalexamples are used to test the efficiency and accuracy of the method. The results showthat the new method is efficient, accurate and easy to implement.https://mcs.qut.ac.ir/article_703978_0bb8a2a8573322eacb66bc2918930687.pdfone dimensional fredholm-volterra equationsintegro-differential equationspolynomial collocationstandard collocation pointsintegral equations |
| spellingShingle | Johnson Adekunle Osilagun Adetola Olaide Adesanya Timothy Ashibel Anake Samuel Adamu Polynomial collocation method for initial value problem of mixed integro-differential equations Mathematics and Computational Sciences one dimensional fredholm-volterra equations integro-differential equations polynomial collocation standard collocation points integral equations |
| title | Polynomial collocation method for initial value problem of mixed integro-differential equations |
| title_full | Polynomial collocation method for initial value problem of mixed integro-differential equations |
| title_fullStr | Polynomial collocation method for initial value problem of mixed integro-differential equations |
| title_full_unstemmed | Polynomial collocation method for initial value problem of mixed integro-differential equations |
| title_short | Polynomial collocation method for initial value problem of mixed integro-differential equations |
| title_sort | polynomial collocation method for initial value problem of mixed integro differential equations |
| topic | one dimensional fredholm-volterra equations integro-differential equations polynomial collocation standard collocation points integral equations |
| url | https://mcs.qut.ac.ir/article_703978_0bb8a2a8573322eacb66bc2918930687.pdf |
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