A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method
In this paper, we investigate a numerical solution of Lienard’s equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem. The proposed method is a combination of the fractional Taylor series and the residual functions. Numerical and theoretical...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/6/1/1 |
| _version_ | 1818028011116560384 |
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| author | Muhammed I. Syam |
| author_facet | Muhammed I. Syam |
| author_sort | Muhammed I. Syam |
| collection | DOAJ |
| description | In this paper, we investigate a numerical solution of Lienard’s equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem. The proposed method is a combination of the fractional Taylor series and the residual functions. Numerical and theoretical results are presented. |
| first_indexed | 2024-12-10T04:57:00Z |
| format | Article |
| id | doaj.art-5abfb03572c04b58a06c39185bf08bd1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-10T04:57:00Z |
| publishDate | 2017-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5abfb03572c04b58a06c39185bf08bd12022-12-22T02:01:29ZengMDPI AGMathematics2227-73902017-12-0161110.3390/math6010001math6010001A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series MethodMuhammed I. Syam0Department of Mathematical Sciences, United Arab Emirates University, Al-Ain 15551, United Arab EmiratesIn this paper, we investigate a numerical solution of Lienard’s equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem. The proposed method is a combination of the fractional Taylor series and the residual functions. Numerical and theoretical results are presented.https://www.mdpi.com/2227-7390/6/1/1Lienard’s equationCaputo derivativeTaylor seriesresidual power series (RPS) |
| spellingShingle | Muhammed I. Syam A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method Mathematics Lienard’s equation Caputo derivative Taylor series residual power series (RPS) |
| title | A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method |
| title_full | A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method |
| title_fullStr | A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method |
| title_full_unstemmed | A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method |
| title_short | A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method |
| title_sort | numerical solution of fractional lienard s equation by using the residual power series method |
| topic | Lienard’s equation Caputo derivative Taylor series residual power series (RPS) |
| url | https://www.mdpi.com/2227-7390/6/1/1 |
| work_keys_str_mv | AT muhammedisyam anumericalsolutionoffractionallienardsequationbyusingtheresidualpowerseriesmethod AT muhammedisyam numericalsolutionoffractionallienardsequationbyusingtheresidualpowerseriesmethod |