Numerical solution of eight order boundary value problems using Chebyshev polynomials
First-kind Chebyshev polynomials are used as the basis functions in this study to present the approximations to the eighth-order boundary-value problems. The problem is reduced using the suggested approach into a set of linear algebraic equations, which are then solved to determine the unknown const...
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2023-03-01
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| Series: | Mathematics and Computational Sciences |
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| Online Access: | https://mcs.qut.ac.ir/article_703309_1ba6efe1fb096ae97b9033d5aa0c5642.pdf |
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| author | Musiliu Tayo Raji Christie Yemisi Ishola Olayemi Olutola Babalola Tawakalt Abosede Ayoola Nasiru Muhammed Momoh Olumuyiwa James Peter |
| author_facet | Musiliu Tayo Raji Christie Yemisi Ishola Olayemi Olutola Babalola Tawakalt Abosede Ayoola Nasiru Muhammed Momoh Olumuyiwa James Peter |
| author_sort | Musiliu Tayo Raji |
| collection | DOAJ |
| description | First-kind Chebyshev polynomials are used as the basis functions in this study to present the approximations to the eighth-order boundary-value problems. The problem is reduced using the suggested approach into a set of linear algebraic equations, which are then solved to determine the unknown constants. To demonstrate the application and effectiveness of the strategy, analytical results are provided using tables and graphs for three examples. The results obtained using the proposed method reveal that it is simple and outperforms comparable solutions in the literature. |
| first_indexed | 2024-03-08T05:35:58Z |
| format | Article |
| id | doaj.art-7f4a60b2ea0f461485aefbfd9b8a4c4c |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-04-24T18:43:14Z |
| publishDate | 2023-03-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-7f4a60b2ea0f461485aefbfd9b8a4c4c2024-03-27T09:02:53ZengQom University of TechnologyMathematics and Computational Sciences2717-27082023-03-0141182810.30511/mcs.2023.1988829.1108703309Numerical solution of eight order boundary value problems using Chebyshev polynomialsMusiliu Tayo Raji0Christie Yemisi Ishola1Olayemi Olutola Babalola2Tawakalt Abosede Ayoola3Nasiru Muhammed Momoh4Olumuyiwa James Peter5Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, NigeriaDepartment of Mathematics, National Open University of Nigeria Jabi, Abuja, NigeriaDepartment of Mathematics and Statistics, Osun State College of Technology Esa Oke, Osun State, NigeriaDepartment of Mathematics, Osun State University, Osogbo, NigeriaDepartment of Mathematics, Federal University of Technology Minna, Niger State, Nigeria.Department of Mathematical and Computer Sciences, University of Medical Sciences, Ondo City, Ondo StateFirst-kind Chebyshev polynomials are used as the basis functions in this study to present the approximations to the eighth-order boundary-value problems. The problem is reduced using the suggested approach into a set of linear algebraic equations, which are then solved to determine the unknown constants. To demonstrate the application and effectiveness of the strategy, analytical results are provided using tables and graphs for three examples. The results obtained using the proposed method reveal that it is simple and outperforms comparable solutions in the literature.https://mcs.qut.ac.ir/article_703309_1ba6efe1fb096ae97b9033d5aa0c5642.pdffirst kind chebyshev polynomialsboundary value problemscollocationapproximate solution |
| spellingShingle | Musiliu Tayo Raji Christie Yemisi Ishola Olayemi Olutola Babalola Tawakalt Abosede Ayoola Nasiru Muhammed Momoh Olumuyiwa James Peter Numerical solution of eight order boundary value problems using Chebyshev polynomials Mathematics and Computational Sciences first kind chebyshev polynomials boundary value problems collocation approximate solution |
| title | Numerical solution of eight order boundary value problems using Chebyshev polynomials |
| title_full | Numerical solution of eight order boundary value problems using Chebyshev polynomials |
| title_fullStr | Numerical solution of eight order boundary value problems using Chebyshev polynomials |
| title_full_unstemmed | Numerical solution of eight order boundary value problems using Chebyshev polynomials |
| title_short | Numerical solution of eight order boundary value problems using Chebyshev polynomials |
| title_sort | numerical solution of eight order boundary value problems using chebyshev polynomials |
| topic | first kind chebyshev polynomials boundary value problems collocation approximate solution |
| url | https://mcs.qut.ac.ir/article_703309_1ba6efe1fb096ae97b9033d5aa0c5642.pdf |
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