Results 1 to 5 of 5

Math Help - Boundary conditions

  1. #1
    Junior Member
    Joined
    Dec 2009
    Posts
    38

    Boundary conditions

    if we use the boundary condition at r=0, a = 0, for the following equation

    a = C1r + C2/r + qr

    is it safe to say that C2=0? and thus:

    a = C1r + qr
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,368
    Thanks
    43
    Quote Originally Posted by calypso View Post
    if we use the boundary condition at r=0, a = 0, for the following equation

    a = C1r + C2/r + qr

    is it safe to say that C2=0? and thus:

    a = C1r + qr
    Yes, otherwise a becomes unbounded.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Dec 2009
    Posts
    38
    what do you mean by unbounded sorry?

    If you sub in a = 0 and r = 0, you are left with

    0 = C2/0

    however this make no sence because dividing by 0 should give infinity
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,368
    Thanks
    43
    Quote Originally Posted by calypso View Post
    what do you mean by unbounded sorry?

    If you sub in a = 0 and r = 0, you are left with

    0 = C2/0

    however this make no sence because dividing by 0 should give infinity
    If you fix c_2 then as r \to 0, then a grows without bound ( a \to \infty).
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Dec 2009
    Posts
    38
    Ok great, thanks for reply
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Boundary conditions that are derivatives
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: December 17th 2010, 06:48 AM
  2. [SOLVED] Neumann Boundary Conditions
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: November 21st 2010, 12:55 PM
  3. Boundary Conditions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 12th 2010, 11:12 AM
  4. What are the boundary conditions?
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: August 27th 2009, 01:18 PM
  5. PDE boundary conditions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 28th 2008, 08:02 AM

Search Tags


/mathhelpforum @mathhelpforum