Numerical Methods for Engineers and Scientists.

Create a Matlab Function (not Matlab predefined) to interpolate natural cubic splines.

Calculate interpolated value at x=12.7

* This is using the natural cubic splines method.

624 Write a MATLAB user-defined fumction for interpolation with natural cubic splines. Name the func- tion Yint = CubicSplines (x, y, xint), where the input arguments x and y are vectors with the coordinates of the data points, and xint is the coordinate of the interpolated point. The output argument Yint is the y value of the interpolated point. (a) Use the function with the data in Example 6-8 for calculating the interpolated value at 12.7 Example 6-8: Cubic splines. The set of the following five data points is given: x 8 15 18 22 y 5 9 10 8 7