Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets
A numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type. The CAS wavelets operational matrix of fractional order integration is derived. A truncated CAS wavelets series together with this operational matrix is utilized to reduce the fr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/801395 |
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| _version_ | 1832555817062105088 |
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| author | Mingxu Yi Kangwen Sun Jun Huang Lifeng Wang |
| author_facet | Mingxu Yi Kangwen Sun Jun Huang Lifeng Wang |
| author_sort | Mingxu Yi |
| collection | DOAJ |
| description | A numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type. The CAS wavelets operational matrix of fractional order integration is derived. A truncated CAS wavelets series together with this operational matrix is utilized to reduce the fractional integrodifferential equations to a system of algebraic equations. The solution of this system gives the approximation solution for the truncated limited 2k(2M+1). The convergence and error estimation of CAS wavelets are also given. Two examples are included to demonstrate the validity and applicability of the approach. |
| format | Article |
| id | doaj-art-e33b6d7884bd4a33b2d086371ffa5ed9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e33b6d7884bd4a33b2d086371ffa5ed92025-02-03T05:47:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/801395801395Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS WaveletsMingxu Yi0Kangwen Sun1Jun Huang2Lifeng Wang3School of Aeronautical Science and Technology, Beihang University, Beijing 100191, ChinaSchool of Aeronautical Science and Technology, Beihang University, Beijing 100191, ChinaSchool of Aeronautical Science and Technology, Beihang University, Beijing 100191, ChinaSchool of Aeronautical Science and Technology, Beihang University, Beijing 100191, ChinaA numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type. The CAS wavelets operational matrix of fractional order integration is derived. A truncated CAS wavelets series together with this operational matrix is utilized to reduce the fractional integrodifferential equations to a system of algebraic equations. The solution of this system gives the approximation solution for the truncated limited 2k(2M+1). The convergence and error estimation of CAS wavelets are also given. Two examples are included to demonstrate the validity and applicability of the approach.http://dx.doi.org/10.1155/2013/801395 |
| spellingShingle | Mingxu Yi Kangwen Sun Jun Huang Lifeng Wang Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets Journal of Applied Mathematics |
| title | Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets |
| title_full | Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets |
| title_fullStr | Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets |
| title_full_unstemmed | Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets |
| title_short | Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets |
| title_sort | numerical solutions of fractional integrodifferential equations of bratu type by using cas wavelets |
| url | http://dx.doi.org/10.1155/2013/801395 |
| work_keys_str_mv | AT mingxuyi numericalsolutionsoffractionalintegrodifferentialequationsofbratutypebyusingcaswavelets AT kangwensun numericalsolutionsoffractionalintegrodifferentialequationsofbratutypebyusingcaswavelets AT junhuang numericalsolutionsoffractionalintegrodifferentialequationsofbratutypebyusingcaswavelets AT lifengwang numericalsolutionsoffractionalintegrodifferentialequationsofbratutypebyusingcaswavelets |