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Interpolation math problem

  1. Mar 31, 2009 #1
    1. The problem statement, all variables and given/known data
    Hi m8s,

    determine the max. step size that can be used in the function of F(x)=ex
    ∈ [0, 1] so the error in the linear interpolation less than 5*10-4

    2. Relevant equations



    3. The attempt at a solution
    i used the Taylor expansion to get an eqn. so i be able to get the general interpolation egn. as:
    f(x)=1+x+x2/2+x3/6+....
    and to the linear the eqn. will be:
    f(x)=1+x

    then i got the table with my x0 =0.1 and my step size = 0.2 , and i got p(x)~0.18x+1.0625 ,
    and i said that the e^x = P(x) to able to get the step size (h) as asked .
    But the problem is i cant get it to the error less than 5*10^-4 in my step size.

    thxx in advance !!!
     
  2. jcsd
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