Question: Need MATLAB code for this problem NOT a written solution. Thanks. 2) In this exercise, you will be writing your own function, sineval,which will use
2) In this exercise, you will be writing your own function, sineval,which will use a quadratic spline to compute approximations for the sine function at any real number. You are to compute the quadratic spline S(x) using evenly-spaced nodes xi , , where x,,-x. = for k = 1,2, , n-1, and whose derivative is specified at xi. The numbers y,.yu , y, are the corresponding function values to be interpolated. On each interval [i,4. S(x) = S,(x) = a, th(x-4)+6(x-xi ), k=1.2 ,n-1 After applying the interpolation conditions, one obtains a& =y; 1,2 , n-1 (1) and y,-i-y, k = 1,2, , n-1 (2) ; After applying the smoothness conditions, one obtains If S(x)v, (derivative is specified to be v), then one obtains bv(4) Page 3 of 4 Use Equs. (3) and (4) to set up a linear system to solve for vector b that contains the coefficients bi,h,, a) ,b-i . Write down an example system' for n 5
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