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Introducing Muntz-Kajani wavelet and its application in the numerical solution of a HIV infection of CD4+T cells model | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 شهریور 1404 اصل مقاله (1.44 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.66682.3140 | ||
| نویسندگان | ||
| Afkar Kareem Mnahi1؛ Majid Tavassoli Kajani* 1؛ Mohammed Jasim Mohammed2؛ Masoud Allame1 | ||
| 1Department of Mathematics, Isf. C., Islamic Azad University, Isfahan, Iran. | ||
| 2Department of Mathematics, University of Thi-Qar, Nasiriyah, 64001, Iraq. | ||
| چکیده | ||
| In this paper, for the first time, we introduce a new wavelet called the Muntz–Kajani wavelet. We also study how to approximate a function by using these wavelets and provide an error bound. Then we use the collocation method based on the Muntz–Kajani wavelet to numerically solve a system of fractional differential equations. The accuracy of the solution is also assessed. To show how well the method works in practice, we apply it to investigate how HIV infects CD4+T cells. Numerical results are also given to demonstrate the efficiency and Cauchy convergence of the proposed method. | ||
| کلیدواژه‌ها | ||
| Muntz -Kajani Wavelet؛ Fractional Differential Equations؛ Collocation Method؛ Approximation of the solution؛ Model of infected CD4+T cells by HIV | ||
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آمار تعداد مشاهده مقاله: 34 تعداد دریافت فایل اصل مقاله: 36 |
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