Finite Difference Computing with Exponential Decay Models by Hans Petter Langtangen

Author:Hans Petter Langtangen
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

4. Models

Hans Petter Langtangen1

(1)Simula Research Laboratory, Lysaker, Norway

Hans Petter Langtangen

Email: [email protected]

This chapter presents many mathematical models that all end up with ODEs of the type . The applications are taken from biology, finance, and physics, and cover population growth or decay, interacting predator-prey populations, compound interest and inflation, radioactive decay, chemical and biochemical reaction, spreading of diseases, cooling of objects, compaction of geological media, pressure variations in the atmosphere, viscoelastic response in materials, and air resistance on falling or rising bodies.

Before we turn to the applications, however, we take a brief look at the technique of scaling, which is so useful in many applications.

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