Timeline for Solving PDE in 1D with FD and MATLAB
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 2, 2016 at 18:48 | comment | added | P. G. | @LorenzoFabbri (I messed up my previous comment...) If your instructor wanted you to use this grid, it's probably a mistake. | |
| Nov 2, 2016 at 18:42 | comment | added | P. G. | @LorenzoFabbri You can easily check if your solution is correct by using the analytical solution to your problem. If your instructor | |
| Nov 2, 2016 at 12:21 | comment | added | Steve | @LorenzoFabbri Your points lie outside $(0,1)$? Well your PDE is defined on $(0,1)$ with BCs on $0$ and $1$, so not having your spatial points in this range doesn't makes sense to me. See my edit answer for a link to non-uniform finite difference operators | |
| Nov 2, 2016 at 11:43 | comment | added | wrong_path | I think I am able to do that with uniform grids (I do not know how to check if the solution is correct), but the problem is only with non-uniform grids. The points are outside the range $0,1$. I am using only n = 4; k = 0:n; x = 1 - 0.5*cos(pi*k/n); as in the notes written by the instructor. | |
| Nov 2, 2016 at 10:32 | comment | added | P. G. | Try to do it with the uniform grid first to understand how to solve the problem in general. To use a non-uniform grid you have to do a transformation of your derivative between your grid and a reference grid, in which you are calculating the derivative. | |
| Nov 2, 2016 at 10:02 | comment | added | wrong_path | Thank you for the reply. The problem is that I have to use a non-homogeneous grid so I was trying to do that from the beginning! Thanks. I did mistake with the derivation now it is correct! | |
| Nov 1, 2016 at 21:44 | history | answered | P. G. | CC BY-SA 3.0 |