Write a Matlab function which computes the integral by Simpson's rule. Your function should be used...

 

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Write a Matlab function which computes the integral by Simpson's rule. Your function should be used by the following command in Matlab command window: 1 >> v=Simpson (fun, a, b, n) where fun is a function handle of f(x), and a, b is the interval, and n is the number of sub-intervals (i.e., 2n+1 will be the number of points.) Test your function on problem 1. Write a script that computes, for n = 2, 4, 8, 16, 32, 128, the absolute error for each n, and a plot (with loglog) of the absolute error against n. Compute the convergence order numerically (compare the error change when n doubled). Write a Matlab function which computes the integral by Simpson's rule. Your function should be used by the following command in Matlab command window: 1 >> v=Simpson (fun, a, b, n) where fun is a function handle of f(x), and a, b is the interval, and n is the number of sub-intervals (i.e., 2n+1 will be the number of points.) Test your function on problem 1. Write a script that computes, for n = 2, 4, 8, 16, 32, 128, the absolute error for each n, and a plot (with loglog) of the absolute error against n. Compute the convergence order numerically (compare the error change when n doubled).

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Code function v Simpsonfun a b n h b a 2 n x ahb fx funx v h 3 fx1 4 sumfx22end1 ... View the full answer