Modeling with Delay Differential Equations

Allen Holder and Joseph Eichholz
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Allen Holder: Rose-Hulman Institute of Technology
Joseph Eichholz: Rose-Hulman Institute of Technology

Chapter Chapter 10 in An Introduction to Computational Science, 2019, pp 377-387 from Springer

Abstract: Abstract Although modeling phenomena with differential equations has a long and successful history over a wide range of applications, some situations lend themselves to adaptations that more seamlessly capture the entity being modeled. This chapter studies one such adaptation called a delay differential equation (DDE). delay differential equation DDE A DDE is an ordinary differential equation that permits dependencies on historical information, and initial conditions are replaced with legacy assumptions that detail the solution’s previously observed behavior. A DDE is a welcome framework for processes that naturally depend on historical trajectories and not just initial values.

Date: 2019
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DOI: 10.1007/978-3-030-15679-4_10

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