From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 1670/CH7/EX7.5/7_5.sce | 36 ++++++++++++++++++++++++++++++++++++
 1 file changed, 36 insertions(+)
 create mode 100755 1670/CH7/EX7.5/7_5.sce

(limited to '1670/CH7/EX7.5')

diff --git a/1670/CH7/EX7.5/7_5.sce b/1670/CH7/EX7.5/7_5.sce
new file mode 100755
index 000000000..e879350d9
--- /dev/null
+++ b/1670/CH7/EX7.5/7_5.sce
@@ -0,0 +1,36 @@
+//Example 7.5
+//Stirlings Central Difference Derivatives
+//Page no. 238
+clc;close;clear;
+printf('   x\t\t    y\t\t    d\t\t    d2\t\t    d3\t\t    d4\n')
+printf('-----------------------------------------------------------------------------------------')
+h=0.1;s=1;
+e=[1,6,30]
+deff('y=f1(x,s)','y=((z(x,3)+z(x-1,3))/2+s*z(x-1,4)+(z(x-1,5)+z(x-2,5))*(3*s^2-1)/12)/h')
+deff('y=f2(x,s)','y=(z(x-1,4))/h^2')
+deff('y=f3(x,s)','y=(z(x-1,5)+z(x-2,5))/(2*h^3)')
+z=[0.7,0.644218;0.8,0.717356;0.9,0.783327;1,0.841471;1.1,0.891207;1.2,0.932039;1.3,0.963558];
+for i=3:6
+    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=1:6
+        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
+fp=0;i=5;
+for j=2:2:6
+    fp=fp+((-1)^(j/2+1))*(z(i,j)-z(i-2,j))/(2*h*e(j/2))
+    i=i-1;
+end
+printf('\n\nf`p (sin`(x))= %g',fp)
\ No newline at end of file
-- 
cgit