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Treatment of Fractional Burgers-Fisher equation Using Taylor Wavelets | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 مرداد 1404 اصل مقاله (1.16 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.65899.3059 | ||
| نویسندگان | ||
| Zaid Alkhafaji* 1؛ Ali Khani1؛ Nasser Aghazadeh2 | ||
| 1Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. | ||
| 21. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.\\ 2. Department of Mathematics, Izmir Institute of Technology, Izmir, Türkiye. | ||
| چکیده | ||
| This study introduces an approach for finding an approximate solution to the time fractional generalized Burgers-Fisher equation. The core idea of the method is to transform the nonlinear partial differential equation into a linear one through the application of the Picard iteration technique. Subsequently, the Taylor wavelet collocation method is employed to address the linear equation derived in the prior step. The proposed approach effectively resolves the time fractional generalized Burgers-Fisher equation. The numerical results are evaluated against the exact solutions obtained from the Haar wavelet Picard and homotopy perturbation methods. | ||
| کلیدواژه‌ها | ||
| Numerical methods for wavelets؛ Fractional partial differential equation؛ Fractional derivatives and integrals؛ Taylor wavelet؛ Collocation method | ||
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آمار تعداد مشاهده مقاله: 7 تعداد دریافت فایل اصل مقاله: 2 |
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