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Write a Matlab script-file probl1.m to execute the requested commands (as much as possible) in the...

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Advance Math

Write a Matlab script-file probl1.m to execute the requestedcommands (as much as possible) in the exercises below. Increase N anumber of times according to N = 4, 8, 16, 32, 64, 128, . . . (1)Determine for each N the (exact) error. (2) Determine for N ? 16also the convergence ratio q(h/2).

This script should be based on a function-file trap.m(trapezoidal integration) as follows:

function [totarea] = trap(N)

format long;

a = 0; b = 1/2; h = (b-a)/N;

x = a:h:b; totarea = 0;

for i = 1:N

xl = x(i);

xr = x(i+1);

fxl = myfunct(xl);

fxr = myfunct(xr);

locarea = (h/2)*(fxl+fxr);

totarea = totarea + locarea;

end

end

You can refer to the integral as myfunct(). The interval is[0,1/2].

Answer & Explanation Solved by verified expert
4.0 Ratings (707 Votes)
Matlab code for Trapizoidal methodclear allclose allMatlab code for Trapizoidal integral for varing Nn4 8 16 32 64    See Answer
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