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seen May 10 '12 at 8:13

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2
awarded  Curious
May
12
awarded  Popular Question
May
12
awarded  Popular Question
Nov
26
awarded  Popular Question
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15
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awarded  Popular Question
May
10
revised Two-Point boundary value problem
added 331 characters in body
May
10
comment Two-Point boundary value problem
Thanks @JitseNiesen The main part I was confused on is how to calculate the $f_j$. Could you see if what I've done is correct? I rearranged the equation and got $f_{j+1}(1-\frac{h}{2})+y_{j-1}(1+\frac{h}{2})+y_j(-2)=h^2f_j$. For example, $j=1 \Rightarrow f_{2}(1-\frac{h}{2})+y_{0}(1+\frac{h}{2})+y_1(-2)=h^2f_1$. So does $h^2f_1 = \frac{1}{36}\cdot(-\frac{1}{6})?$ And does $h^2f_2 = \frac{1}{36}\cdot(-\frac{2}{6})$?
May
10
asked Two-Point boundary value problem
May
9
asked Finite difference method for BVP (2nd order)
May
9
comment 1st order ODE problem (forward euler)
Ok, understood it now. Thanks again man, cheers!
May
9
comment 2nd order ODE to 1st order ODE/Forward euler method
Thanks, understood it. Much appreciated again.
May
9
revised 2nd order ODE to 1st order ODE/Forward euler method
Updated question
May
9
comment 1st order ODE problem (forward euler)
Quick question -- You wrote that $f(t_0,U^0) = u(0)$, does that mean $f(t_1,u^1) = u(1)$ and so forth for $n \in \mathbb{N}$?
May
9
accepted 2nd order ODE to 1st order ODE/Forward euler method
May
9
comment 2nd order ODE to 1st order ODE/Forward euler method
Thanks @JohnathanGleason , I understood everything you did. I just have one more question -- How do I get from $f(t_0, W^0)= \left( \begin{array}{c} V^0 \\ 5\cdot 0 \cdot U^0 + \sin V^0 \end{array} \right) = \left( \begin{array}{c} 0 \\ 0 \end{array} \right) $? In particular, shouldnt $U^0 =1$?
May
9
comment 1st order ODE problem (forward euler)
Thanks Johnathan, great answer. :)
May
9
accepted 1st order ODE problem (forward euler)
May
9
asked 1st order ODE problem (forward euler)
May
8
asked 2nd order ODE to 1st order ODE/Forward euler method