Since is already gone, should I be working to eliminate

Printable View

- January 13th 2011, 04:22 PMdwsmithSecond Order Elliptic

Since is already gone, should I be working to eliminate - January 14th 2011, 04:12 AMJester
Yes, that's the idea but let me say that it's not always possible :-)

- January 14th 2011, 12:39 PMdwsmith
So continuing....

Doing this didn't eliminate

The answer is

How do I solve this equation correctly? - January 15th 2011, 05:34 AMJester
Try

- January 15th 2011, 12:40 PMdwsmith
- January 15th 2011, 04:02 PMJester
Let's start over. First let

and choose and so the first order terms vanish. Then scale and so that you can cancel the coefficient on the term. - January 15th 2011, 04:03 PMdwsmith
- January 15th 2011, 04:22 PMJester
Why. Because (1) You have three different transformations when you can use two and (2), you seem a little fixated on using a rotation of coordinates. I personally won't rely on this so much on this (it really only works for constant coefficient PDEs.)

- January 15th 2011, 04:27 PMdwsmith