Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations
In this paper, we suggest a matrix method for obtaining the approximate solutions of the delay linear Fredholm integro-differential equations with constant coefficients using the shifted Legendre polynomials. The problem is considered with mixed conditions. Using the required matrix operations, the...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2017-03-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1658365516300012 |
| _version_ | 1811283923604340736 |
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| author | Şuayip Yüzbaşı |
| author_facet | Şuayip Yüzbaşı |
| author_sort | Şuayip Yüzbaşı |
| collection | DOAJ |
| description | In this paper, we suggest a matrix method for obtaining the approximate solutions of the delay linear Fredholm integro-differential equations with constant coefficients using the shifted Legendre polynomials. The problem is considered with mixed conditions. Using the required matrix operations, the delay linear Fredholm integro-differential equation is transformed into a matrix equation. Additionally, error analysis for the method is presented using the residual function. Illustrative examples are given to demonstrate the efficiency of the method. The results obtained in this study are compared with the known results. |
| first_indexed | 2024-04-13T02:20:52Z |
| format | Article |
| id | doaj.art-1ab32c2d65d74f528d371d529c2604f4 |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-04-13T02:20:52Z |
| publishDate | 2017-03-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-1ab32c2d65d74f528d371d529c2604f42022-12-22T03:06:59ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552017-03-0111234435210.1016/j.jtusci.2016.04.001Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equationsŞuayip YüzbaşıIn this paper, we suggest a matrix method for obtaining the approximate solutions of the delay linear Fredholm integro-differential equations with constant coefficients using the shifted Legendre polynomials. The problem is considered with mixed conditions. Using the required matrix operations, the delay linear Fredholm integro-differential equation is transformed into a matrix equation. Additionally, error analysis for the method is presented using the residual function. Illustrative examples are given to demonstrate the efficiency of the method. The results obtained in this study are compared with the known results.http://www.sciencedirect.com/science/article/pii/S1658365516300012Delay Fredholm integro-differential equationsNumerical solutionMatrix methodShifted Legendre polynomials |
| spellingShingle | Şuayip Yüzbaşı Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations Journal of Taibah University for Science Delay Fredholm integro-differential equations Numerical solution Matrix method Shifted Legendre polynomials |
| title | Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations |
| title_full | Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations |
| title_fullStr | Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations |
| title_full_unstemmed | Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations |
| title_short | Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations |
| title_sort | shifted legendre method with residual error estimation for delay linear fredholm integro differential equations |
| topic | Delay Fredholm integro-differential equations Numerical solution Matrix method Shifted Legendre polynomials |
| url | http://www.sciencedirect.com/science/article/pii/S1658365516300012 |
| work_keys_str_mv | AT suayipyuzbası shiftedlegendremethodwithresidualerrorestimationfordelaylinearfredholmintegrodifferentialequations |