a)
| Code Block | ||
|---|---|---|
| ||
function result = simpsons(a,b,n,f |
...
) if mod(n, 2) ~= 0 error('Parameteren n må være et partall, var %d\n', n); end dx = (b-a)/n; |
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y= |
...
f(a: |
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dx:b |
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) |
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; yodd = 2*sum( |
...
y(3:2: |
...
n-1)) |
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; yeven = 4*sum( |
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y(2:2: |
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result = h/3 * result;
end
b)
n));
ysum = y(1) + yodd + yeven + y(n+1);
result = dx/3 * ysum;
end |
b)
| Code Block | ||
|---|---|---|
| ||
function result = |
...
simpsons_error(start, stop, error, fn) |
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N = 2; |
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% N må være et partall |
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Si = simpsons(start, stop, N, fn); |
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S2i = simpsons(start, stop, 2*N, fn); |
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while abs(Si-S2i) >= |
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N = 2 * N;
Si = simpsons(start, stop, N, fn);
...
error N = 2 * N; Si = S2i; S2i = simpsons(start, stop, 2*N, fn); |
...
end
result = Si;
end
fprintf('Antal ledd: %d\n', N);
result = Si;
end |
end