- #1
oddiseas
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Homework Statement
[t]=-U+k[xx] u(x,0)=U(L,0)=0 u(x,0)sin(pix/L)
Write down difference equations for the approximate solution of this problem using the following methods:
1)forward difference
2)backward difference
3)crank nicholson
Homework Equations
I can do part 3, but i am stuck on the first two methods. I can find an exppression for the partial derivative of t, but the second derivative using the forward difference from a taylor approximation is 0 isn't it?
F(x+dx,t)=f(x,t)+[f][x](x,t)dx+[f][xx](x,t)(dx)^2
which if u solve for f''=0