- #1
maistral
- 240
- 17
Okay, I'm trying to play around again :D
A little overview; I know that the Poisson equation is supposed to be:
uxx + uyy = f(x,y)
I can manage to discretise the partial derivative terms by Taylor. I don't know how to deal with the f(x,y) though. Say for example, uxx + uyy = -exp(x). what values of x will I use?
If possible, by virtue of this Laplace equation solution diagram,
https://fbcdn-sphotos-b-a.akamaihd.net/hphotos-ak-prn2/q71/1533880_710799648952993_1272413896_n.jpg
which values of x will I use, is it the 30's or the 100's? If I add y in f(x,y) as well (perhaps changing the equation to -exp(x+y) as an example), which values of y should I use? is it the 50's or the 100s at the right side? Thanks a lot. :D
A little overview; I know that the Poisson equation is supposed to be:
uxx + uyy = f(x,y)
I can manage to discretise the partial derivative terms by Taylor. I don't know how to deal with the f(x,y) though. Say for example, uxx + uyy = -exp(x). what values of x will I use?
If possible, by virtue of this Laplace equation solution diagram,
https://fbcdn-sphotos-b-a.akamaihd.net/hphotos-ak-prn2/q71/1533880_710799648952993_1272413896_n.jpg
which values of x will I use, is it the 30's or the 100's? If I add y in f(x,y) as well (perhaps changing the equation to -exp(x+y) as an example), which values of y should I use? is it the 50's or the 100s at the right side? Thanks a lot. :D