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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
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
ISSN: 1017-1398
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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