Qualitative Study of a Dynamical System for Computer Virus Propagation—A Nonstandard Finite‐Difference‐Methodological View
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10798
Abstract: In this article, we consider a nonlinear model that was originally proposed for computer virus propagation by Gan and coauthors in 2013. As our first contribution, we re‐examined and extended some analytical results regarding this… read more here.
Keywords: system; time; dynamical system; virus propagation ... See more keywords
Numerical solution of fractional Black‐Scholes model of American put option pricing via a nonstandard finite difference method: Stability and convergent analysis
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5913
Abstract: In this paper, a free boundary fractional Black‐Scholes (FBS) model of American put option pricing is investigated. To convert the free boundary FBS model to a model with known boundary condition, the quasi‐stationary method is… read more here.
Keywords: put option; nonstandard finite; american put; finite difference ... See more keywords
Numerical dynamics of nonstandard finite difference schemes for a computer virus propagation model
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-019-00604-y
Abstract: In this paper, we construct and analyze nonstandard finite difference (NSFD) schemes for a computer virus propagation model. We prove theoretically that the proposed NSFD schemes preserve essential qualitative properties of the continuous model. These… read more here.
Keywords: difference; schemes computer; computer virus; model ... See more keywords
A nonstandard finite difference method for solving a mathematical model of HIV-TB co-infection
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2017.1318859
Abstract: We design and analyze an unconditionally convergent nonstandard finite-difference method to study transmission dynamics of a mathematical model of HIV-TB co-infection. The dynamics of this model are studied using the qualitative theory of dynamical systems.… read more here.
Keywords: method; model; finite difference; nonstandard finite ... See more keywords
Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations
Sign Up to like & getrecommendations! Published in 2021 at "BMC Research Notes"
DOI: 10.1186/s13104-021-05858-4
Abstract: Objective The main purpose of this paper is to present an accelerated nonstandard finite difference method for solving the singularly perturbed Burger-Huxley equation in order to produce more accurate solutions. Results The quasilinearization technique is… read more here.
Keywords: difference; finite difference; nonstandard finite; accelerated nonstandard ... See more keywords
Approximate Solutions for a Class of Predator-Prey Systems with Nonstandard Finite Difference Schemes
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081660
Abstract: In this paper, we construct new nonstandard finite difference schemes to approximate a set of positive solutions for the predator–prey model, which contains different functional responses. The organization of the denominator of the discrete derivative… read more here.
Keywords: nonstandard finite; predator prey; difference schemes; finite difference ... See more keywords