University of Tabriz Computational Methods for Differential Equations 2345-3982 14 1 2026 11 01 An effective Legendre wavelet technique for the time-fractional Fisher equation 145 164 19220 10.22034/cmde.2025.63725.2849 EN Fatih İdiz Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey. Gamze Tangolu Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey. Nasser Aghazadeh 1. Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey.\\ 2. Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan. 0000-0003-2705-8942 Amir Mohammadi Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. Journal Article 2024 09 27 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. https://cmde.tabrizu.ac.ir/article_19220_6770194c1ce2d756328dbe80c7bb5c57.pdf