[R] Euler & Runge-Kutta
thpe at simecol.de
Mon Nov 7 22:53:36 CET 2016
Am 07.11.2016 um 21:52 schrieb Franklin Bretschneider:
> Hello Tom Mosca,
>> 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:
> Succes, Franklin
Thanks, Franklin :)
> Franklin Bretschneider
> Dept of Biology
> Utrecht University
> bretschr at xs4all.nl
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> and provide commented, minimal, self-contained, reproducible code.
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