Results 1 to 2 of 2

Math Help - Quick question about improved Euler's method

  1. #1
    Member
    Joined
    Nov 2009
    Posts
    79

    Quick question about improved Euler's method

    I am trying to understand an example in my book and something isn't making sense to me. The problem is: Use the improved Euler method to calculate approximate values of the solution of the initial value problem y'=1-t-4y, y(0)=1.

    I have found that F_0=5. Assuming that h=.025 we then get f(t_0+h,y_0+hf_0)=5.475.

    It is after this where I'm getting confused. The equation in my book is y_n+1=y_n+(h/2)(f_n+f(t_n+h, y_n+hf_n)). Using this we get y_1=1+(0.5)(5+5.475)(0.025)=1.1309375.

    I cannot for the life of me figure out where the 0.5 is coming from. Can someone show me where it's coming from?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Nov 2009
    Posts
    79
    NEVER MIND! I had a major brain fart there. I just realized that they turned the 1/2 into a .5
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Euler's Method
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: November 9th 2009, 07:20 AM
  2. Improved Euler's Method Help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 8th 2009, 10:14 PM
  3. Euler's improved method with subroutines
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: July 13th 2009, 12:00 PM
  4. quick question, power series method.
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: May 10th 2009, 12:28 PM
  5. Replies: 2
    Last Post: October 12th 2008, 04:33 AM

Search Tags


/mathhelpforum @mathhelpforum