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Software Solution of Delay Differential Equations

机译:时滞微分方程的软件解决方案

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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.
机译:通常不能将用于常微分方程的方法用于求解延迟微分方程,这反映在选择合适的软件中。本文展示了延迟微分方程软件解决方案的可能性。本文的目的是介绍当前软件包和程序系统(例如Matlab,Maple,R)的可能性。本文还展示了上述方程如何在动力学模型的解中使用。论文的结论证明了一种特定动力学模型的解决方案-适用于捷克共和国的菲利普斯曲线。建立模型需要使用解析和综合方法,动力学建模以及求解两个时滞微分方程组。结论中,作者声称尽管适用于求解延迟微分方程的可用软件的质量不如用于求解常微分方程的软件的质量,但仍可以找到满足基本要求的软件。因此,这样的软件可以在实践中用作精确建模方法的支持工具。

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