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Title: Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs
Authors: Aghazadeh, Nasser
Mohammadi, Amir
Tanoğlu, Gamze
Azarbaijan Shahid Madani Univ
Azarbaijan Shahid Madani Univ
Izmir Institute of Technology
Keywords: Fractional differential equation
Singular Emden-Fowler equation
Taylor wavelets
Issue Date: Jul-2022
Publisher: Springer
Abstract: A novel technique has been introduced to solve the Emden-Fowler equations. It has been derived from the Taylor wavelets collocation method. The proposed scheme has been successfully implemented in order to solve the singular equations. The singular problem converts to a system of algebraic equations that can be solved numerically. Moreover, the technique is very effective to remove the strong singularity point at x = 0. The numerical experiments have been checked out with the exact and approximate solutions that have been achieved by others including the Adomian decomposition method (Wazwaz in Appl Math Comput 166:638-651, 2005), Modified Homotopy Perturbation Method (Singh et al. J Math Chem 54(4):918-931, 2016). Also, the error analysis of the technique has been considered.
Description: Article; Early Access
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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