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https://hdl.handle.net/11147/13567
Title: | A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations | Authors: | İdiz, Fatih Tanoğlu, Gamze Aghazadeh, Nasser |
Keywords: | Legendre wavelet Lane-Emden equation Fractional differential equation Quasilinearization |
Publisher: | Springer | Abstract: | In this research, we study the numerical solution of fractional Lane-Emden type equations, which emerge mainly in astrophysics applications. We propose a numerical approach making use of Legendre wavelets and the quasilinearization technique. The nonlinear term in fractional Lane-Emden type equations is iteratively linearized using the quasilinearization technique. The linearized equations are then solved using the Legendre wavelet collocation method. The proposed method is quite effective to overcome the singularity in fractional Lane-Emden type equations. Convergence and error analysis of the proposed method are given. We solve some test problems to compare the effectiveness of the proposed method with some other numerical methods in the literature. | Description: | Article; Early Access | URI: | https://doi.org/10.1007/s11075-023-01568-z https://hdl.handle.net/11147/13567 |
ISSN: | 1017-1398 1572-9265 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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A-numerical-method.pdf Until 2025-01-01 | 1.11 MB | Adobe PDF | View/Open Request a copy |
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