• Support PF! Buy your school textbooks, materials and every day products Here!

Starting out in pde

  • Thread starter imranq
  • Start date
  • #1
57
1

Homework Statement


Hey I'm trying to get a sense of this problem, just starting pde class:

[tex]au_x+bu_y+cu=0[/tex]


Homework Equations





The Attempt at a Solution


Dunno what to do with that last term
 

Answers and Replies

  • #2
fzero
Science Advisor
Homework Helper
Gold Member
3,119
289
Have you tried separation of variables?
 
  • #3
hunt_mat
Homework Helper
1,739
18
This equation can be solved via the method of characteristics.
 
  • #4
57
1
what is the method of characteristics?
 
  • #5
hunt_mat
Homework Helper
1,739
18
This is something which should be covered in your course or alternatively you can google it ot it should be in any good book on PDEs.
 
  • #6
hunt_mat
Homework Helper
1,739
18
The idea is basically to view the solution of the PDE as a surface [tex]u=u(x,y)[/tex] and the equation is in fact the dot product between the normal at that point and the tangent plane. You just integrate up the equations for the tangent plane basically.
 

Related Threads on Starting out in pde

  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
0
Views
6K
  • Last Post
Replies
1
Views
845
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
3
Views
965
  • Last Post
Replies
0
Views
656
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
995
Top