diff options
Diffstat (limited to '1670/CH5/EX5.23/5_23.sce')
-rwxr-xr-x | 1670/CH5/EX5.23/5_23.sce | 35 |
1 files changed, 35 insertions, 0 deletions
diff --git a/1670/CH5/EX5.23/5_23.sce b/1670/CH5/EX5.23/5_23.sce new file mode 100755 index 000000000..243cf2c42 --- /dev/null +++ b/1670/CH5/EX5.23/5_23.sce @@ -0,0 +1,35 @@ +//Example 5.23
+//Newton's Forward Difference Formula
+//Page no. 147
+clc;close;clear;
+printf(' x\t y\t d1\td2\td3\td4\t')
+printf('\n--------------------------------------------------------------------')
+h=5;
+z=[80,5026;85,5674;90,6362;95,7088;100,7854]
+deff('y=f(x,p)','y=z(x,2)+p*z(x-1,3)+p*(p+1)*z(x-2,4)/2+p*(p+1)*(p+2)*z(x-3,5)/6+p*(p+1)*(p+2)*(p+3)*z(x-4,6)/24')
+x01=100;x11=105;
+for i=3:7
+ for j=1:7-i
+ z(j,i)=z(j+1,i-1)-z(j,i-1)
+ end
+end
+printf('\n')
+for i=1:5
+ for j=1:6
+ if z(i,j)==0 then
+ printf(' \t')
+ else
+ if j==1 then
+ printf(' %i\t',z(i,j))
+ else
+ printf('%i\t',z(i,j))
+ end
+ end
+ end
+ printf('\n')
+end
+x=poly(0,'x')
+l=z(1,2)+x*z(1,3)+x*(x-1)*z(1,4)/2+x*(x-1)*(x-2)*z(1,5)/6
+disp(l,"The required equation is :")
+p=(x11-x01)/h;
+disp(f(5,p),"fp (105) =");
\ No newline at end of file |