Numerical ‎S‎olution of a SIR Fractional Model of the Distribution of Computer Viruses Using Dickson Polynomials

Subject Areas : International Journal of Industrial Mathematics

درناز شیرانی ¹ (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran.)
مجید توسلی کاجانی ² (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran.)
سهیل سلحشور ³ (Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Isfahan, Iran.)

Received: 2019-05-15 Accepted : 2019-11-25 Published : 2021-07-01

Keywords: Dickson polynomials, Fractional model of computer virus, Collocation ‎method,

Abstract :

‎In this paper, a numerical method is presented using a Dickson-based collocations method to solve a fractional model of computer virus propagation. The model presented in this paper is a system of differential equations of fraction. By using the Dickson-based collocation method and using Chebyshev's spatial points, we transform the system of deficit differential equations into a system of algebraic equations. In this way, an approximate solution can be found for the proposed model. By introducing the error functions for the expressed fractional model, the accuracy and convergence of the obtained solutions are investigated. Some of the approximate results obtained using this method is displayed in the numerical results ‎section.‎

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