Solving Delay Differential Equations with Julia
2019-07-23, 15:45–16:15, Elm B

Delay differential equations (DDEs) are used to model dynamics with inherent time delays in different scientific areas; however, solving them numerically in an efficient way is hard. This talk demonstrates how the DifferentialEquations ecosystem allows to solve even complicated DDEs with a variety of different numerical algorithms.

Time delays are an inherent part of many dynamical systems in different scientific areas such as biology, physiology, chemistry, and control theory, suggesting to model these systems with delay differential equations (DDEs), i.e., differential equations including time delays. However, solving DDEs numerically in an efficient way is hard. In my talk I present DelayDiffEq.jl, a Julia package for solving DDEs. I show how it integrates into the DifferentialEquations ecosystem and makes use of the large number of numerical algorithms in OrdinaryDiffEq.jl for solving ordinary differential equations.