In a previous post (click on the link on the left to learn fully about the experiment, and the assigned problems), I talked
about an experiment we conduct in class to compare spline and polynomial interpolation. If you do not want to conduct the experiment itself but want the (x,y) data to see for yourself how [...]
In a previous post, I mentioned that I have incorporated experiments in my Numerical Methods course. Here I will discuss the second experiment.
In this experiment, we find the length of two curves generated from the same points – one curve is a polynomial interpolant and another one is a spline interpolant.
Motivation behind the experiment: [...]
As per integral calculus, the length of a continuous and differentiable curve f(x) from x=a to x=b is given by
S=
Now how do we find the length of a curve in MATLAB.
Let us do this via an example. Assume one asked you to find the length of from Π to 2Π. In the [...]
