On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions
We want to find a numerical solution for an integrodifferential equation with an integral boundary condition and delay parameter. This type of problems arises in mathematical physics, mechanics, population growth, and other fields of physics and mathematical chemistry. So, convergence of this approa...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/564632 |
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| _version_ | 1832548282595803136 |
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| author | I. Najafi Khalilsaraye K. Maleknejad |
| author_facet | I. Najafi Khalilsaraye K. Maleknejad |
| author_sort | I. Najafi Khalilsaraye |
| collection | DOAJ |
| description | We want to find a numerical solution for an integrodifferential equation with an integral boundary condition and delay parameter. This type of problems arises in mathematical physics, mechanics, population growth, and other fields of physics and mathematical chemistry. So, convergence of this approach is discussed by presenting a theorem which gives exponential type convergence rate and guarantees the accuracy of that. Finally, by some numerical examples, we show the efficiency and accuracy of this numerical method. |
| format | Article |
| id | doaj-art-a05727ced7394aab87d9b95e817fafd9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a05727ced7394aab87d9b95e817fafd92025-02-03T06:15:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/564632564632On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis FunctionsI. Najafi Khalilsaraye0K. Maleknejad1Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University, Alborz, IranDepartment of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University, Alborz, IranWe want to find a numerical solution for an integrodifferential equation with an integral boundary condition and delay parameter. This type of problems arises in mathematical physics, mechanics, population growth, and other fields of physics and mathematical chemistry. So, convergence of this approach is discussed by presenting a theorem which gives exponential type convergence rate and guarantees the accuracy of that. Finally, by some numerical examples, we show the efficiency and accuracy of this numerical method.http://dx.doi.org/10.1155/2014/564632 |
| spellingShingle | I. Najafi Khalilsaraye K. Maleknejad On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions Abstract and Applied Analysis |
| title | On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions |
| title_full | On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions |
| title_fullStr | On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions |
| title_full_unstemmed | On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions |
| title_short | On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions |
| title_sort | on solution of integrodifferential equation with delay parameter by sinc basis functions |
| url | http://dx.doi.org/10.1155/2014/564632 |
| work_keys_str_mv | AT inajafikhalilsaraye onsolutionofintegrodifferentialequationwithdelayparameterbysincbasisfunctions AT kmaleknejad onsolutionofintegrodifferentialequationwithdelayparameterbysincbasisfunctions |