rroy81
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Problem: I need to write a matlab code using the function f(x)=sin(x) evaluating integral between [0,pi]. I need to iterate till I achieve a relative error of 10^-12
this what I have as far as coding goes.
% Romberg Integration for sin(x) over [0,pi]
a = 0; b = pi; % The Endpoints
R = zeros(7,7);
R(1,1) =(b-a)/2*(sin(a) + sin(b));
for k = 7 : 7
h =(b-a)/2^(k-1);
R(k,1)=1/2*(R(k-1,1) + 2*h-1*(sin(a+ (2*(1 : (2^(k-2)))-1)*h)));
end
for j= 2 : 7
for k=j: 7
R(k,j) =R(k,j-1) + (R(k,j-1)-R(k-1,j-1))/(4^(j-1)-1);
end
end
disp(R)
I am getting mismatch errors according to matlab.
Can someone PLEASE HELP?!?!?!?!?!?!
this what I have as far as coding goes.
% Romberg Integration for sin(x) over [0,pi]
a = 0; b = pi; % The Endpoints
R = zeros(7,7);
R(1,1) =(b-a)/2*(sin(a) + sin(b));
for k = 7 : 7
h =(b-a)/2^(k-1);
R(k,1)=1/2*(R(k-1,1) + 2*h-1*(sin(a+ (2*(1 : (2^(k-2)))-1)*h)));
end
for j= 2 : 7
for k=j: 7
R(k,j) =R(k,j-1) + (R(k,j-1)-R(k-1,j-1))/(4^(j-1)-1);
end
end
disp(R)
I am getting mismatch errors according to matlab.
Can someone PLEASE HELP?!?!?!?!?!?!
