4 papers
Positive and elementary stable explicit nonstandard Runge-Kutta methods for a class of autonomous dynamical systems
Quang A Dang, Manh Tuan Hoang
In this paper, we construct explicit nonstandard Runge-Kutta (ENRK) methods which have higher accuracy order and preserve two important properties of autonomous dynamical systems,…
Exact finite difference schemes for three-dimensional linear systems with constant coefficients
Quang A Dang, Manh Tuan Hoang
In this paper implicit and explicit exact difference schemes (EDS) for system of three linear differential equations with constant coefficients are cons…
Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models
Quang A Dang, Manh Tuan Hoang
In this paper nonstandard finite difference (NSFD) schemes of two metapopulation models are constructed. The stability properties of the discrete models are investigated by the use…
Nonstandard finite difference schemes for a general predator-prey system
Quang A Dang, Manh Tuan Hoang
In this paper we transform a continuous-time predator-prey system with general functional response and recruitment for both species into a discrete-time model by nonstandard finite…