On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena
The research focuses on exploring the characteristics of the Lane Emden equation, which is a second-order ordinary differential equation that has its roots in astrophysics. To approximate this equation, a technique that employs non-dyadic Haar wavelets in conjunction with quasi-linearization is util...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824012183 |
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| author | Jaya Gupta Ratesh Kumar Homan Emadifar |
| author_facet | Jaya Gupta Ratesh Kumar Homan Emadifar |
| author_sort | Jaya Gupta |
| collection | DOAJ |
| description | The research focuses on exploring the characteristics of the Lane Emden equation, which is a second-order ordinary differential equation that has its roots in astrophysics. To approximate this equation, a technique that employs non-dyadic Haar wavelets in conjunction with quasi-linearization is utilized. By utilizing non-dyadic wavelets, the ordinary differential equation can be simplified into a system of algebraic equations. Error estimates are provided to assess the accuracy of the produced data. A comparison between the existing solutions and the numerical results obtained using the suggested approach is performed to showcase its efficiency and advantages. The non-dyadic Haar wavelet approach is found to be a rich structure for numerous solutions that span a wide range of physical parameter. |
| format | Article |
| id | doaj-art-d7e3de3370564d1982ef52e45f85b890 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-d7e3de3370564d1982ef52e45f85b8902025-01-18T05:03:39ZengElsevierAlexandria Engineering Journal1110-01682025-01-01111249258On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomenaJaya Gupta0Ratesh Kumar1Homan Emadifar2Department of Mathematics, Lovely Professional University, Phagwara 144411, IndiaDepartment of Mathematics, Lovely Professional University, Phagwara 144411, IndiaDepartment of Mathematics, Saveetha School of Engineering, Saveetha institute of Medical and Technical Science, Saveetha University, Chennai, Tamil Nadu 602105, India; MEU Research Unit, Middle East University, Amman 11831, Jordan; Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran; Corresponding author at: Department of Mathematics, Lovely Professional University, Phagwara 144411, India.The research focuses on exploring the characteristics of the Lane Emden equation, which is a second-order ordinary differential equation that has its roots in astrophysics. To approximate this equation, a technique that employs non-dyadic Haar wavelets in conjunction with quasi-linearization is utilized. By utilizing non-dyadic wavelets, the ordinary differential equation can be simplified into a system of algebraic equations. Error estimates are provided to assess the accuracy of the produced data. A comparison between the existing solutions and the numerical results obtained using the suggested approach is performed to showcase its efficiency and advantages. The non-dyadic Haar wavelet approach is found to be a rich structure for numerous solutions that span a wide range of physical parameter.http://www.sciencedirect.com/science/article/pii/S1110016824012183Ordinary differential equation (ODE)Lane-Emden equation (LEE)AstrophysicsQuasilinearization techniqueNon-dyadic wavelet (HS3WM)Haar scale-2 (HS2WM) |
| spellingShingle | Jaya Gupta Ratesh Kumar Homan Emadifar On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena Alexandria Engineering Journal Ordinary differential equation (ODE) Lane-Emden equation (LEE) Astrophysics Quasilinearization technique Non-dyadic wavelet (HS3WM) Haar scale-2 (HS2WM) |
| title | On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena |
| title_full | On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena |
| title_fullStr | On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena |
| title_full_unstemmed | On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena |
| title_short | On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena |
| title_sort | on the solutions of the lane emden model via non dyadic wavelet scheme to unravel astrophysical phenomena |
| topic | Ordinary differential equation (ODE) Lane-Emden equation (LEE) Astrophysics Quasilinearization technique Non-dyadic wavelet (HS3WM) Haar scale-2 (HS2WM) |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824012183 |
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