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Bidarian, Marjan, Saeedi, Habibollah, Baloochshahryari, Mohammad Reza. (1402). A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease. سامانه مدیریت نشریات علمی, 11(4), 834-850. doi: 10.22034/cmde.2023.53231.2245
Marjan Bidarian; Habibollah Saeedi; Mohammad Reza Baloochshahryari. "A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease". سامانه مدیریت نشریات علمی, 11, 4, 1402, 834-850. doi: 10.22034/cmde.2023.53231.2245
Bidarian, Marjan, Saeedi, Habibollah, Baloochshahryari, Mohammad Reza. (1402). 'A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease', سامانه مدیریت نشریات علمی, 11(4), pp. 834-850. doi: 10.22034/cmde.2023.53231.2245
Bidarian, Marjan, Saeedi, Habibollah, Baloochshahryari, Mohammad Reza. A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease. سامانه مدیریت نشریات علمی, 1402; 11(4): 834-850. doi: 10.22034/cmde.2023.53231.2245

A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease

Computational Methods for Differential Equations
مقاله 13، دوره 11، شماره 4، مهر 2023، صفحه 834-850    اصل مقاله (506.59 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.53231.2245
نویسندگان
Marjan Bidarian1؛ Habibollah Saeedi* 2؛ Mohammad Reza Baloochshahryari1
1Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.
2Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
چکیده
In this paper, we describe a spectral Tau approach for approximating the solutions of a system of multi-order fractional differential equations which resulted from coronavirus disease mathematical modeling (COVID-19). The non-singular fractional derivative with a Mittag-Leffler kernel serves as the foundation for the fractional derivatives. Also, the operational matrix of fractional differentiation on the domain [0, a] is presented. Then, the convergence analysis of the proposed approximate approach is established and the error bounds are determined in a weighted L2 norm. Finally, by applying the Tau method, some of the important parameters in the model’s impact on the dynamics of the disease are graphically displayed for various values of the non-integer order of the ABC-derivative. 
کلیدواژه‌ها
Multi-Order Fractional differential equation؛ Mathematical Model of COVID-19؛ Fractional ABC-derivative؛ Mittag-Leffler Kernel؛ Error Analysis
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