Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals
Rational Chebyshev bases and Galerkin method are used to obtain the approximate solution of a system of high-order integro-differential equations on the interval [0,∞). This method is based on replacement of the unknown functions by their truncated series of rational Chebyshev expansion. Test exampl...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/803503 |
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| author | M. Tavassoli Kajani S. Vahdati Zulkifly Abbas Mohammad Maleki |
| author_facet | M. Tavassoli Kajani S. Vahdati Zulkifly Abbas Mohammad Maleki |
| author_sort | M. Tavassoli Kajani |
| collection | DOAJ |
| description | Rational Chebyshev bases and Galerkin method are used to obtain the approximate solution of a system of high-order integro-differential equations on the interval [0,∞). This method is based on replacement of the unknown functions by their truncated series of rational Chebyshev expansion. Test examples are considered to show the high accuracy, simplicity, and efficiency of this method. |
| format | Article |
| id | doaj-art-884409387bd846daa0005719fc3b16ea |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-884409387bd846daa0005719fc3b16ea2025-02-03T01:28:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/803503803503Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite IntervalsM. Tavassoli Kajani0S. Vahdati1Zulkifly Abbas2Mohammad Maleki3Department of Mathematics, Islamic Azad University, Khorasgan Branch, 81515-158 Isfahan, IranDepartment of Mathematics, Khansar Faculty of Computer and Mathematics, University of Isfahan, Isfahan 81746-73441, IranDepartment of Physics, Faculty of Science, University Putra Malaysia, 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Islamic Azad University, Mobarakeh Branch, 84819-14411 Isfahan, IranRational Chebyshev bases and Galerkin method are used to obtain the approximate solution of a system of high-order integro-differential equations on the interval [0,∞). This method is based on replacement of the unknown functions by their truncated series of rational Chebyshev expansion. Test examples are considered to show the high accuracy, simplicity, and efficiency of this method.http://dx.doi.org/10.1155/2012/803503 |
| spellingShingle | M. Tavassoli Kajani S. Vahdati Zulkifly Abbas Mohammad Maleki Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals Journal of Applied Mathematics |
| title | Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals |
| title_full | Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals |
| title_fullStr | Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals |
| title_full_unstemmed | Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals |
| title_short | Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals |
| title_sort | application of rational second kind chebyshev functions for system of integrodifferential equations on semi infinite intervals |
| url | http://dx.doi.org/10.1155/2012/803503 |
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