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İdiz, Fatih, Tangolu, Gamze, Aghazadeh, Nasser, Mohammadi, Amir. (1405). An effective Legendre wavelet technique for the time-fractional Fisher equation. سامانه مدیریت نشریات علمی, 14(1), 145-164. doi: 10.22034/cmde.2025.63725.2849
Fatih İdiz; Gamze Tangolu; Nasser Aghazadeh; Amir Mohammadi. "An effective Legendre wavelet technique for the time-fractional Fisher equation". سامانه مدیریت نشریات علمی, 14, 1, 1405, 145-164. doi: 10.22034/cmde.2025.63725.2849
İdiz, Fatih, Tangolu, Gamze, Aghazadeh, Nasser, Mohammadi, Amir. (1405). 'An effective Legendre wavelet technique for the time-fractional Fisher equation', سامانه مدیریت نشریات علمی, 14(1), pp. 145-164. doi: 10.22034/cmde.2025.63725.2849
İdiz, Fatih, Tangolu, Gamze, Aghazadeh, Nasser, Mohammadi, Amir. An effective Legendre wavelet technique for the time-fractional Fisher equation. سامانه مدیریت نشریات علمی, 1405; 14(1): 145-164. doi: 10.22034/cmde.2025.63725.2849

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

Computational Methods for Differential Equations
مقاله 11، دوره 14، شماره 1، فروردین 2026، صفحه 145-164    اصل مقاله (3.35 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.63725.2849
نویسندگان
Fatih İdiz1؛ Gamze Tangolu2؛ Nasser Aghazadeh* 3؛ Amir Mohammadi4
1Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey.
2Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey.
31. Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey.\\ 2. Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan.
4Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
چکیده
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.
کلیدواژه‌ها
Numerical methods؛ Fisher’s equation؛ Legendre wavelets؛ Quasilinearization
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