euler_logistic.pdf
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Euler Logistic:
A new problem: the logistic equation
MATH1090: Directed Study on Numerical ODE’s
http://people.sc.fsu.edu/∼jburkardt/classes/math1090 2020/euler logistic/euler logistic.pdf
Some sample solutions of the logistic equation for 0 ≤ t ≤ 1.5.
Euler Logistic
Solutions of the logistic equation can have sharp turns that are hard for the Euler code to follow unless
small steps are taken.
1 Introduction
We know that the results of our computational approach to a differential equation are only estimates for
the correct solution. In a textbook problem, we know the exact solution and can compare it to our results.
But in a real life problem, is there any way to estimate the accuracy of our results? Is there a way to try to
improve the accuracy if we think we have done badly?
1
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