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Science Forum Index » Mathematics Forum » runge kutta matrix problem
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| Guest |
Posted: Thu May 01, 2008 1:22 pm |
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Hi
I have to resolve problem like this:
Ax + B*(dx/dt) = y
x + C*(dy/dt) = D
where
x(0) = 0 ;
y(0) = 0;
I 'd like to use Runge_Kutta or other numerical method
Regard
kamil |
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| Robert Israel |
Posted: Thu May 01, 2008 8:16 pm |
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Guest
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kamsta.exe@gmail.com writes:
Quote: Hi
I have to resolve problem like this:
Ax + B*(dx/dt) = y
x + C*(dy/dt) = D
where
x(0) = 0 ;
y(0) = 0;
I 'd like to use Runge_Kutta or other numerical method
Sure, why not?
Write your equations as X' = F(X) where X = [x(t), y(t)].
The formulas for the vector version of Runge-Kutta are exactly
the same as for the scalar version.
--
Robert Israel israel@math.MyUniversitysInitials.ca
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada |
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| Tim Little |
Posted: Thu May 01, 2008 10:44 pm |
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Guest
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On 2008-05-01, kamsta.exe@gmail.com <kamsta.exe@gmail.com> wrote:
Quote: Hi
I have to resolve problem like this:
Ax + B*(dx/dt) = y
x + C*(dy/dt) = D
Since your subject line mentioned "matrix problem", do you mean that
A, B, and C are matrices instead of complex or real constants? Are x
and y vectors?
- Tim |
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