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An effective Legendre wavelet technique for the time-fractional Fisher equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 بهمن 1403 اصل مقاله (4.1 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.63725.2849 | ||
| نویسندگان | ||
| Fatih İdiz1؛ Gamze Tangolu2؛ Nasser Aghazadeh* 3؛ Amir Mohammadi3 | ||
| 1Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey. | ||
| 2Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey. | ||
| 3Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Numerical methods؛ Fisher's equation؛ Legendre wavelets؛ Quasilinearization | ||
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آمار تعداد مشاهده مقاله: 154 تعداد دریافت فایل اصل مقاله: 160 |
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