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Mon, 13 Sep 2010 15:20:10 +0000
What's the best way to solve this system of equations?
http://www.mathworks.com/matlabcentral/newsreader/view_thread/291456#779009
Adam Flaugh
I am needing to numerically integrate a system of two equations with respect to time, and was hoping to get some advice on the best way to approach the problem in MATLAB.<br>
<br>
The equations are as follows:<br>
<br>
α_1 y''+α_2 y'+α_3 θ'+α_4 y+α_5 θ+α_6 y^3+α_7 y^2 θ+α_8 y^2 sin(Ωt)+α_9 y^2 cos(Ωt)=F_1 sin(Ωt)+F_2 cos(Ωt)<br>
<br>
and <br>
<br>
α_10 θ''+α_11 y'+α_12 θ'+α_13 y+α_14 θ+α_15 y^3+α_16 y^2 θ+α_17 y^2 sin(Ωt)+α_18 y^2 cos(Ωt)=F_3 sin(Ωt)+F_4 cos(Ωt)<br>
<br>
Y and theta are the terms of interest, while alpha, omega, and F are constants.<br>
<br>
Thanks to anyone who has suggestions.<br>
It is greatly appreciated!<br>
<br>
Adam Flaugh

Mon, 13 Sep 2010 18:17:20 +0000
Re: What's the best way to solve this system of equations?
http://www.mathworks.com/matlabcentral/newsreader/view_thread/291456#779044
Roger Stafford
"Adam Flaugh" <flaugh21@yahoo.com> wrote in message <i6lff9$osq$1@fred.mathworks.com>...<br>
> I am needing to numerically integrate a system of two equations with respect to time, and was hoping to get some advice on the best way to approach the problem in MATLAB.<br>
> .......<br>
        <br>
Look up the documentation for matlab's 'ode' functions.<br>
<br>
Roger Stafford