Results 1 to 3 of 3

Math Help - Wave Equation and Stokes Theorem

  1. #1
    Newbie
    Joined
    Oct 2011
    Posts
    2

    Wave Equation and Stokes Theorem

    Good Morning everyone, I am stuck on a question that I can't get started so thank you for any help you give.

    Derive the solution of the inhomogeneous wave equation on the half line using Stokes' Theorem via integrating over the domain of dependence.

    u_{tt}= c^2u_{xx} + g(x,t)
    u(x,0)=h(x), \ u(0,t)=\xi(x), \ u_t(x,0)=\phi(x), 0<x<\infty

    Can anyone help me please. Thank You for your help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,004
    Thanks
    1659

    Re: Wave Equation and Stokes Theorem

    Well, where, exactly is your problem? Do you know what Stoke's theorem says? Do you know what the "domain of dependence" is?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2011
    Posts
    2

    Re: Wave Equation and Stokes Theorem

    My problem is applying stokes theorem properly. I have an o.k understanding of stokes theorem and what is meant by 'domain of dependence', and I know the solution will be split into two, one for x>ct>0 and another for 0<x<ct. The domain of dependence will be involved in the solution via the part of the solution:

    \frac{1}{2c}\int_\triangle \int f

    But I don't really know how to get the rest of the solution. Thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Stokes Theorem
    Posted in the Calculus Forum
    Replies: 11
    Last Post: May 9th 2011, 10:17 AM
  2. Stokes Theorem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 14th 2011, 05:56 PM
  3. Replies: 3
    Last Post: May 14th 2010, 10:04 PM
  4. Replies: 2
    Last Post: April 3rd 2010, 04:41 PM
  5. Using Stokes theorem
    Posted in the Calculus Forum
    Replies: 8
    Last Post: August 4th 2009, 05:52 PM

Search Tags


/mathhelpforum @mathhelpforum