Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/14418
Title: Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs
Authors: Aghazadeh,N.
Mohammadi,A.
Tanoglu,G.
Keywords: 34G20
35R11
65L80
65M70
Fractional differential equation
Fractional operational matrix
Singular Emden–Fowler equation
Taylor wavelets
Publisher: Springer Medizin
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. © The Author(s), under exclusive licence to Islamic Azad University 2022.
URI: https://doi.org/10.1007/s40096-022-00483-z
https://hdl.handle.net/11147/14418
ISSN: 2008-1359
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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