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Modeling with Ordinary 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

Ordinary differential equations have long been studied due to their ability to model applications across numerous branches of science and engineering. They are of such importance that they have spawned much of the mathematics that we know today. Our task here is to model and solve problems to illustrate how computational modeling can aid scientific and engineering pursuits. We consider the three problems of modeling a Couette flow, an insulin bolus, and a plug-flow reactor.

Suggested Citation

  • Allen Holder & Joseph Eichholz, 2019. "Modeling with Ordinary Differential Equations," International Series in Operations Research & Management Science, in: An Introduction to Computational Science, chapter 0, pages 355-376, Springer.
    • Handle: RePEc:spr:isochp:978-3-030-15679-4_9
    DOI: 10.1007/978-3-030-15679-4_9
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