GENERATE THE FORWARD DIFFERENCE TABLE USING C PROGRAMMING
TITLE:
TO GENERATE THE FORWARD DIFFERENCE TABLE USING C PROGRAMMING
OBJECTIVES:
TOOLS REQUIRED:
THEORY:
While interpolating intermediate value of dependent variable for equi-spaced data of independent variable, at the begining of the table, Newton's Forward Interpolation formula is used.
ALGORITHM:
Start
Read the number of data n and the datas.
Set i=1
Set j=0
Show MoreTITLE:
TO GENERATE THE FORWARD DIFFERENCE TABLE USING C PROGRAMMING
OBJECTIVES:
TOOLS REQUIRED:
THEORY:
While interpolating intermediate value of dependent variable for equi-spaced data of independent variable, at the begining of the table, Newton's Forward Interpolation formula is used.
ALGORITHM:
Start
Read the number of data n and the datas.
Set i=1
Set j=0
Calculate y [j][i]=y [j+1][i-1]-y [j][i-1]
J=j+1
Goto step 5 if j < n-i
Set j=j+1
Goto step 4 if i < n
Display the table
Stop
C-PROGRAM:
#include
#include
void main()
{
float x[20], y[20][20];
int i,j, n;
clrscr();
printf("Enter number of data?\n");
scanf("%d", &n);
printf("Enter data:\n");
for(i = 0; i < n ; i++)
{
printf("x[%d]=", i);
scanf("%f", &x[i]);
printf("y[%d]=", i);
scanf("%f", &y[i][0]);
}
/* Generating Forward Difference Table */
for(i = 1; i < n; i++)
{
for(j = 0; j < n-i; j++)
{
y[j][i] = y[j+1][i-1] - y[j][i-1];
}
}
/* Displaying Forward Difference Table */
printf("\nFORWARD DIFFERENCE TABLE\n\n");
for(i = 0; i < n; i++)
{
printf("%0.2f", x[i]);
for(j = 0; j < n-i ; j++)
{
printf("\t%0.2f", y[i][j]);
}
printf("\n");
}
getch();
}
OUTPUT:
Enter number of data?
5
Enter data:
x[0]=40
y[0]=31
x[1]=50
y[1]=73
x[2]=60
y[2]=124
x[3]=70
y[3]=159
x[4]=80
y[4]=190
FORWARD DIFFERENCE TABLE
40.00 31.00 42.00 9.00 -25.00 37.00
50.00 73.00 51.00 -16.00 12.00
60.00 124.00 35.00 -4.00
70.00 159.00 31.00
80.00 190.00
CONCLUSION:
Thus the forward difference table was generated by using C Programming language.
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