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Modeling with Delay Differential Equations

In: An Introduction to Computational Science

Author

Listed:
  • Allen Holder

    (Rose-Hulman Institute of Technology)

  • Joseph Eichholz

    (Rose-Hulman Institute of Technology)

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.

Suggested Citation

  • Allen Holder & Joseph Eichholz, 2019. "Modeling with Delay Differential Equations," International Series in Operations Research & Management Science, in: An Introduction to Computational Science, chapter 0, pages 377-387, Springer.
    • Handle: RePEc:spr:isochp:978-3-030-15679-4_10
    DOI: 10.1007/978-3-030-15679-4_10
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