Numerical solution of a modified epidemiological model of computer viruses by using Fibonacci wavelets

In the present article, we introduced the innovative Fibonacci wavelet method to compute the approximate solution of the nonlinear modified epidemiological model of computer viruses with the help of an operational matrix of integration (OMI) generated by Fibonacci polynomials. The system of ordinary differential equations (SODEs) represents the model. This method converts the SODEs into a system of algebraic equations. These algebraic equations are then solved by the Newton–Raphson method or secant method. Numerical outcomes are obtained to illustrate the simplicity and effectiveness of the proposed scheme. Also, numerical results and residue errors of the implemented method are compared with different techniques available in the literature, such as the Laplace Adomain decomposition method (LADM), Differential transform method (DTM), Shifted Chebyshev collocation method (SCCM), Variational iteration method (VIM), Homotopy analysis transform method (HATM). Graphs and tables demonstrate how consistently and effectively the developed strategy performs. Mathematical software called Mathematica has been used to perform all calculations.