Title of article
Numerical Solution of a SIR Fractional Model of the Distribution of Computer Viruses Using Dickson Polynomials
Author/Authors
Shirani, D Department of Mathematics - Isfahan (Khorasgan) Branch - Islamic Azad University - Isfahan, Iran , Tavassoli Kajani, T Department of Mathematics - Isfahan (Khorasgan) Branch - Islamic Azad University - Isfahan, Iran , Salahshour, S Department of Mathematics - Mobarakeh Branch - Islamic Azad University - Isfahan, Iran
Pages
9
From page
323
To page
331
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.
Keywords
Dickson Polynomials , Fractional model of computer virus , Collocation method
Journal title
International Journal of Industrial Mathematics(IJIM)
Serial Year
2021
Record number
2699120
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