Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method
In this work, we obtain the approximate solution for the integrodifferential equations by adding perturbation terms to the right hand side of integrodifferential equation and then solve the resulting equation using Chebyshev-Galerkin method. Details of the method are presented and some numerical res...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/8213932 |
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| _version_ | 1832565403909357568 |
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| author | K. Issa F. Salehi |
| author_facet | K. Issa F. Salehi |
| author_sort | K. Issa |
| collection | DOAJ |
| description | In this work, we obtain the approximate solution for the integrodifferential equations by adding perturbation terms to the right hand side of integrodifferential equation and then solve the resulting equation using Chebyshev-Galerkin method. Details of the method are presented and some numerical results along with absolute errors are given to clarify the method. Where necessary, we made comparison with the results obtained previously in the literature. The results obtained reveal the accuracy of the method presented in this study. |
| format | Article |
| id | doaj-art-c1f06dbdcc354f71a13d88ac4919f768 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c1f06dbdcc354f71a13d88ac4919f7682025-02-03T01:07:51ZengWileyJournal of Mathematics2314-46292314-47852017-01-01201710.1155/2017/82139328213932Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin MethodK. Issa0F. Salehi1Department of Statistics and Mathematical Sciences, Kwara State University, PMB 1530, Malete, Ilorin, Kwara State, NigeriaDepartment of Mathematics, Islamic Azad University, Darab Branch, Darab, IranIn this work, we obtain the approximate solution for the integrodifferential equations by adding perturbation terms to the right hand side of integrodifferential equation and then solve the resulting equation using Chebyshev-Galerkin method. Details of the method are presented and some numerical results along with absolute errors are given to clarify the method. Where necessary, we made comparison with the results obtained previously in the literature. The results obtained reveal the accuracy of the method presented in this study.http://dx.doi.org/10.1155/2017/8213932 |
| spellingShingle | K. Issa F. Salehi Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method Journal of Mathematics |
| title | Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method |
| title_full | Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method |
| title_fullStr | Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method |
| title_full_unstemmed | Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method |
| title_short | Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method |
| title_sort | approximate solution of perturbed volterra fredholm integrodifferential equations by chebyshev galerkin method |
| url | http://dx.doi.org/10.1155/2017/8213932 |
| work_keys_str_mv | AT kissa approximatesolutionofperturbedvolterrafredholmintegrodifferentialequationsbychebyshevgalerkinmethod AT fsalehi approximatesolutionofperturbedvolterrafredholmintegrodifferentialequationsbychebyshevgalerkinmethod |