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authorpriyanka2015-06-24 15:03:17 +0530
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+//Example 7.6
+//Stirlings Central Difference Derivatives
+//Page no. 239
+clc;close;clear;
+printf(' x\t\t y\t\t d\t\t d2\t\t d3\t\t d4\t\t d5\n')
+printf('----------------------------------------------------------------------------------------------------------')
+h=0.2;s=1;
+deff('y=f1()','y=(z(4,3)+(3*p^2-1)*z(4,4)/factorial(3)-(3*p^2-6*p+2)*z(3,4)/factorial(3))/h')
+z=[0.2,2.10022;0.4,1.98730;0.6,1.90940;0.8,1.86672;1,1.85937;1.2,1.88737;1.4,1.95063];
+x0=0.8;p=poly(0,'p');
+for i=3:7
+ for j=1:9-i
+ z(j,i)=z(j+1,i-1)-z(j,i-1)
+ end
+end
+printf('\n')
+for i=1:7
+ for j=1:7
+ if z(i,j)==0 then
+ printf(' \t')
+ elseif j==1
+ printf(' %.1f\t\t',z(i,j))
+ else
+ printf('%.6f\t',z(i,j))
+ end
+ end
+ printf('\n')
+end
+f1p=f1()
+disp(f1p)
+r=roots(f1p);
+for i=1:2
+ if abs(r(i))==r(i) then
+ r1=r(i)
+ disp(r(i),"p = ")
+ end
+end
+x=x0+r1*h;
+disp(x,"x = ") \ No newline at end of file