Am 07.11.2016 um 21:52 schrieb Franklin Bretschneider:
Hello Tom Mosca,
Re:
Can someone help me with R code to perform approximations to second order
differential equations and systems of first order differential equations using
Euler's method and Runge-Kutta? I am not a student and this is not for a test
or graded assignment.
Examples (unrelated to each other):
h = 0.1
1. 3(t^2)y'' - 5ty' + 5y = 0
y(1) = 0, y'(1) = 2/3
2. Lotka-Volterra
x' = x(3-y)
y' = y(x-3)
For solving differential equations, the famous "lsoda" solver is best, far better
than the simple Euler method, and also better than Runge & Kutta.
Angels, or very nice people, implemented solving methods using the lsoda into R. Download
the package "deSolve" and the world of numerical solutions is at your feet.
deSolve contains all of this: Euler, Runge-Kutta, lsoda and more ... and
you will find many examples, papers, tutorials and books, and a special
mailing list (special interest group) at:
http://desolve.r-forge.r-project.org
Have fun!
Thomas Petzoldt
Succes, Franklin
-----
Thanks, Franklin :)
Franklin Bretschneider
Dept of Biology
Utrecht University
brets...@xs4all.nl
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
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