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

---
 1673/CH3/EX3.12/3_12.sce | 36 ++++++++++++++++++++++++++++++++++++
 1 file changed, 36 insertions(+)
 create mode 100755 1673/CH3/EX3.12/3_12.sce

(limited to '1673/CH3/EX3.12')

diff --git a/1673/CH3/EX3.12/3_12.sce b/1673/CH3/EX3.12/3_12.sce
new file mode 100755
index 000000000..c0273f306
--- /dev/null
+++ b/1673/CH3/EX3.12/3_12.sce
@@ -0,0 +1,36 @@
+//practical interpolation
+//example 3.12
+//page 99
+clc;clear;close;
+x=[1.72 1.73 1.74 1.75 1.76 1.77 1.78];
+y=[0.1790661479 0.1772844100 0.1755204006 0.1737739435 0.1720448638 0.1703329888 0.1686381473];
+h=0.01//interval between values of x
+c=1;
+for i=1:6
+    d1(c)=y(i+1)-y(i);
+    c=c+1;
+end
+c=1;
+for i=1:5
+    d2(c)=d1(i+1)-d1(i);
+    c=c+1
+end
+c=1;
+for i=1:4
+    d3(c)=d2(i+1)-d2(i);
+    c=c+1;
+end
+c=1;
+for i=1:3
+    d4(c)=d3(i+1)-d3(i);
+    c=c+1;
+end
+x0=1.7475;
+y_x=y(3);
+p=(x0-x(3))/h;
+y_x=y_x+p*d1(3)+p*(p-1)*((d2(2)+d2(3))/2)/2;
+printf(' the value at %f by bessels formula is : %0.10f\n\n',x0,y_x);
+y_x=y(4);
+q=1-p;
+y_x=q*y(3)+q*(q^2-1)*d2(2)/6+p*y(4)+p*(p^2-1)*d2(2)/6;
+printf(' the value at %f by everrets formula is : %0.10f\n\n',x0,y_x);
\ No newline at end of file
-- 
cgit