Software Solution of Delay Differential Equations

Abstract

Methods used for ordinary differential equations cannot generally be used to solve delay differential equation, which is reflected in the choice of suitable software. The paper shows possibilities of software solution of delay differential equations. The aim of the paper is to present the possibilities of current software packages and programme systems (e.g. Matlab, Maple, R). The paper further shows how the aforementioned equations can be used in solutions of dynamical models. The conclusion of the papers demonstrates a solution of a specific dynamical model - the Phillips curve applied to the Czech Republic. Setting up the model required the use of analytic and synthetic methods, dynamical modelling and solving the system of two delay differential equations. In the conclusion the authors claim that although the quality of the available software, suitable for solving delay differential equations, is not as good as that of software used for solving ordinary differential equations, such software that meets basic requirements can be found. Therefore such software can be used as a supportive tool for exact modelling methods in practice.