I am trying to solve a problem using method of undetermined coefficients to derive a second order scheme for
ux using three points,
c1, c2, c3 in the following way:
ux = c1*u(x) + c2*u(x - h) + c3*u(x - 2h)
Now second order scheme just means to solve the equation for the second order derivative, am I right?
I understand how this problem works for actual numerical functions, but I am unsure how to go about it when everything is theoretical and just variables.
Thanks for some help