Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations
We utilized the Haar wavelet operational matrix method for fractional order nonlinear oscillation equations and find the solutions of fractional order force-free and forced Duffing-Van der Pol oscillator and higher order fractional Duffing equation on large intervals. The results are compared with t...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/174819 |
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| _version_ | 1850224624568107008 |
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| author | Umer Saeed Mujeeb ur Rehman |
| author_facet | Umer Saeed Mujeeb ur Rehman |
| author_sort | Umer Saeed |
| collection | DOAJ |
| description | We utilized the Haar wavelet operational matrix method for fractional order nonlinear oscillation equations and find the solutions of fractional order force-free and forced Duffing-Van der Pol oscillator and higher order fractional Duffing equation on large intervals. The results are compared with the results obtained by the other technique and with exact solution. |
| format | Article |
| id | doaj-art-4f083b735ea34f5eaa0485e21199d906 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4f083b735ea34f5eaa0485e21199d9062025-08-20T02:05:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/174819174819Haar Wavelet Operational Matrix Method for Fractional Oscillation EquationsUmer Saeed0Mujeeb ur Rehman1School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, PakistanWe utilized the Haar wavelet operational matrix method for fractional order nonlinear oscillation equations and find the solutions of fractional order force-free and forced Duffing-Van der Pol oscillator and higher order fractional Duffing equation on large intervals. The results are compared with the results obtained by the other technique and with exact solution.http://dx.doi.org/10.1155/2014/174819 |
| spellingShingle | Umer Saeed Mujeeb ur Rehman Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations International Journal of Mathematics and Mathematical Sciences |
| title | Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations |
| title_full | Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations |
| title_fullStr | Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations |
| title_full_unstemmed | Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations |
| title_short | Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations |
| title_sort | haar wavelet operational matrix method for fractional oscillation equations |
| url | http://dx.doi.org/10.1155/2014/174819 |
| work_keys_str_mv | AT umersaeed haarwaveletoperationalmatrixmethodforfractionaloscillationequations AT mujeeburrehman haarwaveletoperationalmatrixmethodforfractionaloscillationequations |