Detail produktu

System of differential equations with piecewise constant argument

HLAVIČKOVÁ, I. KLIMEŠOVÁ, M.

Typ produktu

software

Abstrakt

Differential equations with piecewise constant argument describe various phenomena, e.g., in biology, mechanics and electronics. Here we study a special case of these equations, namely, a system of equations of the form u1'=F1([t],u1([t]),u2([t]))+g1(t), u2'=F2([t],u1([t]),u2([t]))+g2(t), where [t] stands for the greatest integer function and F1, F2, g1 and g2 are continuous functions. Our program is designed to find the solution of such system on the interval [t0, t0+n] if the initial condition u1(t0)=u10, u2(t0)=u20 is given. The solution is found stepwise - on each interval [t0+i-1, t0+i], i=1,...,n, separately. The values of the solution at chosen points can be computed. Further, the graph of the can be shown - the user can choose between several types of graphs (u1 or/and u2 in 2D, a 3D curve or a phase portrait).

Klíčová slova

differential equation; piecewise constant argument

Datum vzniku

08.12.2014

Umístění

Server UMAT FEKT VUT v Brně, Technická 8, 616 00 Brno

Možnosti využití

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Licenční poplatek

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