Sunday, September 18, 2011

Numerical Methods: Integration of given function using Simpson’s 3/8 rule in C

Source Code:

//integration of given function using Simpson's 3/8 rule
#include<stdio.h>
float y(float x){
    return 1/(1+x*x); //function of which integration is to be calculated
}
int main(){
    float x0,xn,h,s;
    int i,n,j,flag;
    printf("Enter x0, xn, no. of subintervals: ");
    scanf("%f%f%d",&x0,&xn,&n);
    h = (xn-x0)/n;
    s = y(x0)+y(xn);
    for(i = 1; i<=n-1;i++){
        for(j=1;j<=n-1;j++){
            if(i==3*j){
                flag = 1;
                break;
            }
            else
                flag = 0;
        }
        if(flag==0)
            s += 3*y(x0+i*h);
        else
            s += 2*y(x0+i*h);
    }
    printf("Value of integral is %6.4f\n",(3*h/8)*s);
    return 0;
}

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