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

---
 964/CH21/EX21.5/21_5.sce | 41 +++++++++++++++++++++++++++++++++++++++++
 1 file changed, 41 insertions(+)
 create mode 100755 964/CH21/EX21.5/21_5.sce

(limited to '964/CH21/EX21.5')

diff --git a/964/CH21/EX21.5/21_5.sce b/964/CH21/EX21.5/21_5.sce
new file mode 100755
index 000000000..e5de4a916
--- /dev/null
+++ b/964/CH21/EX21.5/21_5.sce
@@ -0,0 +1,41 @@
+clc;
+clear;
+function y=f(x)
+    y=(0.2+25*x-200*x^2+675*x^3-900*x^4+400*x^5)
+endfunction
+a=0;
+b=0.8;
+tval=1.640533;
+n=4;
+h=(b-a)/n;
+fa=f(a);
+fb=f(b);
+j=a+h;
+s=0;
+count=1;
+while j<b
+    if (-1)^count==-1 then
+        s=s+4*f(j);
+    else
+        s=s+2*f(j);
+    end
+    count=count+1;
+    j=j+h;
+end
+l=(b-a)*(fa+s+fb)/(3*n);
+disp(l,"l=")
+Et=tval-l;//error
+et=Et*100/tval;//percent relative error
+
+//by using approximate error estimate
+
+//the fourth derivative of f
+function y=g(x)
+    y=-21600+48000*x
+endfunction
+f4x=intg(0,0.8,g)/(b-a);//average value of fourth derivative
+Ea=-(1/(180*4^4))*(f4x)*(b-a)^5;
+disp(Et,"The Error Et=")
+disp("%",et,"The percent relative error et=")
+disp(Ea,"The approximate error estimate without using the true value=")
+
-- 
cgit