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Numerical Algorithms

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14-06-2023 | Original Paper

A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations

Authors: Fatih İdiz, Gamze Tanoğlu, Nasser Aghazadeh

Published in: Numerical Algorithms | Issue 1/2024

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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.

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Title: A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations
Authors: Fatih İdiz
Gamze Tanoğlu
Nasser Aghazadeh
Publication date: 14-06-2023
Publisher: Springer US
Published in: Numerical Algorithms / Issue 1/2024
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265
DOI: https://doi.org/10.1007/s11075-023-01568-z

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