Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By chiro

Thread: Confusion with Taylor Series

  1. #1
    Nov 2008

    Confusion with Taylor Series


    This technique of solving PDEs uses the Taylor expansion: link.

    To calculate f at the n+1^{th} time step, one needs to know f at the j+1^{th} distance step. But how is one expected to know the latter, since the unknown solution is a function of both time and distance?!

    Seeking clarification. Thanks.
    Last edited by algorithm; Oct 19th 2012 at 01:24 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Sep 2012

    Re: Confusion with Taylor Series

    Hey algorithm.

    Your series expansion for a two dimension function will look like f(x+a,y+a) = f(a,b) + df/dx|x=a*(x-a) + df/dy|y=b(y-b) + d^2f/dx^2*(x-a)^2 + d^2f/dxdy|x=a,y=b * (x-a)*(y-b) + ... +

    You can get an idea from here:

    Taylor series - Wikipedia, the free encyclopedia
    Thanks from algorithm
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Taylors Series Confusion
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Apr 29th 2011, 12:14 AM
  2. Replies: 0
    Last Post: Jan 26th 2010, 09:06 AM
  3. Taylor series question confusion
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Nov 21st 2008, 01:21 PM
  4. Replies: 9
    Last Post: Apr 3rd 2008, 06:50 PM
  5. Confusion in Series
    Posted in the Algebra Forum
    Replies: 3
    Last Post: Jan 23rd 2008, 10:21 PM

Search Tags

/mathhelpforum @mathhelpforum