Please use this identifier to cite or link to this item: 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.
Description: Article; Early Access
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

Files in This Item:
File Description SizeFormat 
s40096-022-00483-z.pdf
  Until 2025-07-01
Article1.61 MBAdobe PDFView/Open    Request a copy
Show full item record



CORE Recommender

SCOPUSTM   
Citations

2
checked on Feb 16, 2024

WEB OF SCIENCETM
Citations

2
checked on Jan 27, 2024

Page view(s)

9,498
checked on Feb 26, 2024

Download(s)

2
checked on Feb 26, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.