mardi 1 mai 2018

Differentiation consistency in matlab

I'm trying to write a program in matlab that checks how consistent the definition of the derivative becomes: (f(x+h)-f(x))/h ~= f'(x) when h is small enough. Thus far i have this:

function [errList] = diffConsistency(f,df,x,iMax,h0)
h=h0;
for i=1:iMax
    leftSide = (f(x+h) - f(x)) / h;
    rightSide = df(x);
    errList = abs(leftSide - rightSide);
    h = h*10^(-1);
end

I then use f=@(x)sin(x) and df=@(x)cosx, I'm new to using function handles so this might be wrong completely. iMax is set to 10 and h0 = 1, x=rand(10)

Could anyone check if this is even remotely correct. Especially the use of the function handles inside the diffConsistency function and use of the rand.

Should i define x differently, leftside rightside are correct? etc

Any feedback would help. Thanks in advance




Aucun commentaire:

Enregistrer un commentaire