An effective Legendre wavelet technique for the time-fractional Fisher equation

İdiz, Fatih; Tangolu, Gamze; Aghazadeh, Nasser; Mohammadi, Amir

doi:10.22034/cmde.2025.63725.2849

An effective Legendre wavelet technique for the time-fractional Fisher equation

Articles in Press

Document Type : Research Paper

Authors

¹ Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey.

² Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey.

³ Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.

10.22034/cmde.2025.63725.2849

Abstract

This study modified 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 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.

Keywords

Main Subjects