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https://hdl.handle.net/11147/12416
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. | URI: | http://dx.doi.org/10.1007/s40096-022-00483-z https://hdl.handle.net/11147/12416 |
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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File | Description | Size | Format | |
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s40096-022-00483-z.pdf Until 2025-07-01 | Article | 1.61 MB | Adobe PDF | View/Open Request a copy |
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