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On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena
On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena
- Source :
- Alexandria Engineering Journal, Vol 111, Iss , Pp 249-258 (2025)
- Publication Year :
- 2025
- Publisher :
- Elsevier, 2025.
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 11100168
- Volume :
- 111
- Issue :
- 249-258
- Database :
- Directory of Open Access Journals
- Journal :
- Alexandria Engineering Journal
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.7e3de3370564d1982ef52e45f85b890
- Document Type :
- article
- Full Text :
- https://doi.org/10.1016/j.aej.2024.10.064