حل عددی مدل کسری آلوده شدن سلول های CD4+T با استفاده از چند جمله ای های دیکسون

نویسندگان
مجید توسلی کجانی 1
درناز شیرانی 2
1 دانشگاه آزاد اسلامی اصفهان
2 دانشگاه آزاد اصفهان
چکیده
این مقاله یک روش عددی برای حل یک مدل کسری از آلوده‌شدن سلول‌های CD4+T توسط سلول‌های HIV را بیان میکند. با استفاده از این مدل میتوان روند پیشرفت و انتشار HIV را مورد بررسی قرار داد. روش عددی با استفاده از روش کالوکیشن و چندجمله‌ایهای دیکسون ارائه میشود. در روش کالوکیشن، نقاط کالوکیشن چبیشف بکار برده میشود. با انجام این فرایند دستگاه معادلات دیفرانسیل کسری، به یک دستگاه غیرخطی تبدیل میگردد و دستگاه غیرخطی بدست آمده با یکی از روشهای موجود حل میشود. برای نشان دادن دقت این روش، نتایج عددی بدست آمده با نتایج عددی چندین مقاله مشابه مورد مقایسه قرار میگیرند.
کلیدواژه‌ها
روش کالوکیشن
معادلات دیفرانسیل کسری
نقاط چبیشف
تابع خطا

عنوان مقاله English

Numerical solution for infection of CD4+T cells using Dickson Polynomials

نویسندگان English

Majid Tavassoli Kajani 1
Dornaz Shirani 2
چکیده English

This paper presents a numerical method for solving a fractional model of HIV infection of CD4 + T cells. Using this model, we can examine the progression and spread of HIV. This method is a collocation method based on Dikson polynomials. Chebyshev's nodes are used in this method. By performing this process, the system of fractional differential equations converted to a nonlinear equations system, and the nonlinear system is solved by one of the existing methods. To illustrate the accuracy of this method, numerical results are compared with the numerical results of several similar papers.

کلیدواژه‌ها English

Collocation method
Fractional differential equations
Chebyshev's nodes
Errore function
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