We consider a numerical method based on the Magnus series expansion, and show its second-order convergence when applied to a system of quasilinear delay equations. As an application, we take the delayed epidemic model and illustrate our results with numerical experiments
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
AbstractSome authors proposed to approximate the solutions of delay-differential equations by ordina...
We consider a numerical method based on the Magnus series expansion, and show its second-order conve...
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introdu...
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introdu...
A procedure to numerically integrate non-autonomous linear delay differential equations is presented...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expan...
Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expan...
In this article a space-dependent epidemic model equipped with a constant latency period is examined...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expan...
In the study of disease dynamics SIR (Susceptible-InfectedRecovered) models have a great importance....
AbstractIn a 1971 paper, Hoppensteadt and Waltman consider a deterministic epidemic model that accou...
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
AbstractSome authors proposed to approximate the solutions of delay-differential equations by ordina...
We consider a numerical method based on the Magnus series expansion, and show its second-order conve...
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introdu...
We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introdu...
A procedure to numerically integrate non-autonomous linear delay differential equations is presented...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expan...
Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expan...
In this article a space-dependent epidemic model equipped with a constant latency period is examined...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expan...
In the study of disease dynamics SIR (Susceptible-InfectedRecovered) models have a great importance....
AbstractIn a 1971 paper, Hoppensteadt and Waltman consider a deterministic epidemic model that accou...
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
summary:We study a mathematical model which was originally suggested by Greenhalgh and Das and takes...
AbstractSome authors proposed to approximate the solutions of delay-differential equations by ordina...