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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Kareem Mnahi, Afkar, Tavassoli Kajani, Majid, Jasim Mohammed, Mohammed, Allame, Masoud. (1405). Introducing the Müntz-Kajani wavelet and its application in the numerical solution of an HIV infection of $CD4^+T$ cells model. سامانه مدیریت نشریات علمی, 14(4), 2000-2016. doi: 10.22034/cmde.2025.66682.3140
Afkar Kareem Mnahi; Majid Tavassoli Kajani; Mohammed Jasim Mohammed; Masoud Allame. "Introducing the Müntz-Kajani wavelet and its application in the numerical solution of an HIV infection of $CD4^+T$ cells model". سامانه مدیریت نشریات علمی, 14, 4, 1405, 2000-2016. doi: 10.22034/cmde.2025.66682.3140
Kareem Mnahi, Afkar, Tavassoli Kajani, Majid, Jasim Mohammed, Mohammed, Allame, Masoud. (1405). 'Introducing the Müntz-Kajani wavelet and its application in the numerical solution of an HIV infection of $CD4^+T$ cells model', سامانه مدیریت نشریات علمی, 14(4), pp. 2000-2016. doi: 10.22034/cmde.2025.66682.3140
Kareem Mnahi, Afkar, Tavassoli Kajani, Majid, Jasim Mohammed, Mohammed, Allame, Masoud. Introducing the Müntz-Kajani wavelet and its application in the numerical solution of an HIV infection of $CD4^+T$ cells model. سامانه مدیریت نشریات علمی, 1405; 14(4): 2000-2016. doi: 10.22034/cmde.2025.66682.3140

Introducing the Müntz-Kajani wavelet and its application in the numerical solution of an HIV infection of $CD4^+T$ cells model

Computational Methods for Differential Equations
مقاله 30، دوره 14، شماره 4، دی 2026، صفحه 2000-2016    اصل مقاله (582.26 K)
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, we introduce the Müntz--Kajani wavelet. We also study how to approximate a function using these wavelets and provide an error bound. We then use a collocation method based on the Müntz--Kajani wavelet to numerically solve a system of fractional differential equations. The accuracy of the numerical 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 presented to demonstrate the efficiency and Cauchy convergence of the proposed method.
کلیدواژه‌ها
Müntz-Kajani wavelet؛ Fractional differential equations؛ Collocation method؛ Approximation of the solution؛ Model of infected CD4$^+$T cells by HIV
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تعداد مشاهده مقاله: 250
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