Numerical Analysis Programs Using Fortran 90 - University of ...
Numerical Analysis Programs Using Fortran 90 - University of ...
Numerical Analysis Programs Using Fortran 90 - University of ...
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Problem: Write a <strong>Fortran</strong> program to find the value <strong>of</strong> the integral<br />
1 dt<br />
∫<br />
using Simpson’s 3/8 rule with n = 6<br />
0 2<br />
2<br />
( t + 1) (3t<br />
+ 4)<br />
! program Simpson's 3/8 Rule<br />
dimension y(0:10)<br />
f(t)=1/((t**2+1)*(3*t**2+4))**.5<br />
a=0<br />
b=1<br />
n=6<br />
h=(b-a)/n<br />
s=0<br />
do i=1,n+1<br />
x=a+h*(i-1)<br />
y(i)=f(x)<br />
enddo<br />
do i=1,n,3<br />
s=s+(3*h/8)*(y(i)+3*y(i+1)+3*y(i+2)+y(i+3))<br />
enddo<br />
print*,'Integration by Simpsons 3/8 Rule=',s<br />
end<br />
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^<br />
Integration by Simpson’s 3/8 rule= 4.021832 E-01<br />
38
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