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- W4367321982 abstract "Abstract— The aim of this work is to construct high-order numerical schemes that preserve the dynamical properties of a mathematical model describing the spread of computer viruses on the Internet. For this purpose, we first apply Mickens’ methodology to formulate a dynamically consistent nonstandard finite difference (NSFD) scheme for the model under consideration. After that, the constructed NSFD scheme is combined with Richardson’s extrapolation method to generate higher-accuracy numerical approximations. The result is that we obtain extrapolated numerical schemes that not only preserve the dynamical properties of the computer virus propagation model but also provide higher-accuracy numerical approximations. In addition, a set of numerical examples is conducted to illustrate and support the theoretical findings and to show the advantages of the proposed numerical schemes." @default.
- W4367321982 created "2023-04-29" @default.
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- W4367321982 date "2023-04-01" @default.
- W4367321982 modified "2023-09-25" @default.
- W4367321982 title "Extrapolated nonstandard numerical schemes for solving an epidemiological model for computer viruses" @default.
- W4367321982 doi "https://doi.org/10.54654/isj.v3i17.896" @default.
- W4367321982 hasPublicationYear "2023" @default.
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