TY - JOUR
ID - 16103
TI - A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Bidarian, Marjan
AU - Saeedi, Habibollah
AU - Baloochshahryari, Mohammad Reza
AD - Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.
AD - Department of Applied Mathematics, Faculty of Mathematics and Computer,
Shahid Bahonar University of Kerman, Kerman, Iran.
Y1 - 2023
PY - 2023
VL - 11
IS - 4
SP - 834
EP - 850
KW - Multi-Order Fractional differential equation
KW - Mathematical Model of COVID-19
KW - Fractional ABC-derivative
KW - Mittag-Leffler Kernel
KW - Error analysis
DO - 10.22034/cmde.2023.53231.2245
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_16103.html
L1 - https://cmde.tabrizu.ac.ir/article_16103_fe39a69d4cfb24087cc37cbe5fb9b065.pdf
ER -