Comments
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My Matrix was ; matrix = [ [0,2,1,3,3], [3,0,4,3,4], [1,1,0,1,4], [1,2,2,0,2], [4,1,3,2,0] ] Eigen Ranking ; My best team being Team 2 by far.
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For the condition $k = 0$ and $f = 0$, the steady-state temperature of the lower right corner of the bar is $0.89962.$
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Correction! I forgot to set the Dirichlet boundary on the circle as well. The temperature at the midpoint of the insulated edge of the triangle is now 0.31130 after 1s.
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Heat flow with a constant internal heat source is governed by $u_t = 3u_{xx} + 3$, $u(0,t) = -4$, $u(1,t) = 5$ Find the steady state temp distribution. Set $u_t = 0$ which yields $u_{xx} = -1$ ; Integrating twice I get : $u(x,t) = \frac{-1}{2}x^2 + \alpha(t)x + \beta(t)$ where $\alpha$ and $\beta$ are the two constants.…
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A metal bar with length = 1. Temp given by g(x) = 5x^2 - 3x. At t=0, the left end pt is T=-2 and the right end pt is T=-3. Sketch the temp distribution at t=0, t=0.01, t=0.1, and t=10
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Heat flow with a constant internal heat source is governed by $u_t = 3u_{xx} +3$, U(0,t) = -4, U(1,t) = 5. Find the steady sate temp distribution. Setting Ut = 0, I ended up with Uxx = -1. I then integrated twice to end up with $$u(x,t) = -\frac{1}{2}x^2+ax+b.$$ Plugging in the conditions U(0,t) = -4 and U(1,t) = 5, I was…
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The displacement of the midpoint from the equilibrium is approximately -0.324 when t=1.8