Lagrange's Interpolation

Program #include<stdio.h> #include<conio.h> void main() { float x[10],y[10],n,p=0,num,den,a; int i,j; clrscr()...

C Program for Runge-Kutta Method

C Program for Heun's Method

C Program for Euler's Method

Program

#include<stdio.h>

#include<conio.h>

void main()

{

float x[10],y[10],n,p=0,num,den,a;

int i,j;

clrscr();

printf("Lagrange's Interpolation\n");

printf("Enter value to find root\n");

scanf("%f",&a);

printf("Enter value of n\n");

scanf("%f",&n);

printf("Enter values for x and y\n");

for(i=0;i<n;i++)

scanf("%f%f",&x[i],&y[i]);

for(i=0;i<n;i++)

{

num=1;

den=1;

for(j=0;j<n;j++)

{

if(i!=j)

{

num=num*(a-x[j]);

den=den*(x[i]-x[j]);

}

}

p=p+y[i]*num/den;

}

printf("Root= %f",p);

getch();

}

Output