WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7150

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Author: search.filters.author.Mohammadi, AmirLanguage: search.filters.language.en

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  • Article
    An Effective Legendre Wavelet Technique for the Time-Fractional Fisher Equation
    (Univ Tabriz, 2026) Tanoğlu, Gamze; Aghazadeh, Nasser; Aghazadeh, Nasser; Mohammadi, Amir; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    This study modifies the time-fractional Fisher equation by adding a source term and generalizing the non-linear power to an arbitrary order. A numerical technique is proposed for the modified time-fractional Fisher equation using Legendre wavelets and the quasilinearization technique. The non-linear term is iteratively linearized using the quasilinearization technique. The convergence analysis and error estimates of the proposed method are studied. Several test problems are solved using the proposed technique, and numerical outcomes are contrasted with those obtained using some other approaches existing in the literature.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 8
    Taylor Wavelets Collocation Technique for Solving Fractional Nonlinear Singular Pdes
    (Springer, 2022) Aghazadeh, Nasser; Mohammadi, Amir; Tanoğlu, Gamze; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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.