Product detail

Differential equations with piecewise constant argument

HLAVIČKOVÁ, I. PIDDUBNA, G.

Product type

software

Abstract

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, the equation of the form u'=F([t],u([t]))+g(t), where [t] stands for the greatest integer function and F a g are continuous functions. Our program is designed to find the solution of such equation on the interval [t0, t0+n] if the initial condition u(t0)=u0 is given. The solution is found stepwise - on each interval [t0+i-1, t0+i], i=1,...,n, separately. Further, the values of the solution at chosen points can be computed and the graph of the solution is shown.

Keywords

differential equation, piecewise constant argument

Create date

2. 12. 2013

Location

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

Possibilities of use

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