Numerical integration using Simpsons

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mohammed shapique
mohammed shapique 2020-11-10
回答： Alan Stevens 2020-11-10
Simpsons numerical integration to evalaute
lambda=0.0:0.1:1
mu2=0.5;
gamma2=0.7;
zeta=0.1;
a=0;%lower limit
b=1;%upper limit
n=10;%number of sub-intervals
h=(b-a)/n;
f3=@(x,p)(x.^((mu2/zeta)-1)).*((1-x).^((gamma2./zeta))).*(exp(-(lambda(p).*x)./zeta));
for p = 1:numel(lambda)
for k=1:n
x(k)=a+k*h;
y(k)=f3(x(k),p);
end
so=0;se=0;
for k=1:n-1
if rem(k,2)==1
so=so+y(k);%sum of odd terms
else
se=se+y(k); %sum of even terms
end
end
I3(p)=h./3.*(f3(a,p)+f3(b,p)+4.*so+2.*se)
end
For 11 values of lambda, i am getting 61 solutions. Please help me to find the error.

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Alan Stevens
Alan Stevens 2020-11-10
I just get 11 values for I3, running your code!

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