a)
function result = simpsons(a,b,n,f) h = (b-a)/n; y= [a : h : b]; result = f(y(1)) + f(y(end)); result = result + 2*sum(f(y(3:2:end-1))); % Regner for de odde y-ene result = result + 4*sum(f(y(2:2:end))); % Regner for de pare y-ene result = h/3 * result; end
b)
function result = simpsons_error(start, stop, error, fn) N = 2; % N må være et partall Si = simpsons(start, stop, N, fn); S2i = simpsons(start, stop, 2*N, fn); while abs(Si-S2i) >= error N = 2 * N; Si = simpsons(start, stop, N, fn); S2i = simpsons(start, stop, 2*N, fn); end fprintf('Antal ledd: %d\n', N); result = Si; end