Tag Archives: runge-kutta

Modeling with ODEs in Matlab – Part 2

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Hello again! Today I’m back with Lesson 2 of our ongoing five part series on ODE modeling. Previously, Lesson 1 introduced the use of ODEs as a method of modeling population dynamics and discussed a simple method of evaluating the equations. Today, we will look at Matlab’s implementation of the Runge-Kutta method for solving ODEs. Lesson 3 will explore techniques for designing more realistic models. Lesson 4 will discuss methods for matching these abstract models to empirical data. Finally, we will play around with some fun ‘chaotic’ systems in Lesson 5.
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Modeling with ODEs in Matlab – Part 1

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Hi everyone!  Today I am posting the first of a planned five part series on using Matlab to simulate systems of ordinary differential equations (ODEs).  This lesson will explore the meaning of a differential equation and look at a few possible ways to solve it.  Lesson Two will look at better ways to evaluate ODEs. Lesson Three will discuss designing and simulating models using systems of ODEs.  Lesson Four will explore ways to fit these models to empirical data.  Finally, we will examine some fun nonlinear ODEs and discuss ways to deal with their complexity in Lesson Five.
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