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

---
 50/CH5/EX5.30/ex_5_30.sce | 18 ++++++++++++++++++
 1 file changed, 18 insertions(+)
 create mode 100755 50/CH5/EX5.30/ex_5_30.sce

(limited to '50/CH5/EX5.30')

diff --git a/50/CH5/EX5.30/ex_5_30.sce b/50/CH5/EX5.30/ex_5_30.sce
new file mode 100755
index 000000000..17f88a29d
--- /dev/null
+++ b/50/CH5/EX5.30/ex_5_30.sce
@@ -0,0 +1,18 @@
+// example 5.30
+// evaluate the given double integral using the simpsons rule;
+
+// I= double integral f(x)=1/(x+y) in the range x=[1,2],y=[1,2];
+// 1)
+h=.5;
+k=.5;
+deff('[w]=f(x,y)','w=1/(x+y)')
+
+I=(1/16)*[{f(1,1)+f(2,1)+f(1,2)+f(2,2)}+2*{f(1.5,1)+f(1,1.5)+f(2,1.5)+f(1.5,2)}+4*f(1.5,1.5)]
+
+// 2)
+h=.25;
+k=.25;
+deff('[w]=f(x,y)','w=1/(x+y)')
+
+I=(1/64)*[{f(1,1)+f(2,1)+f(1,2)+f(2,2)}+2*{f(5/4,1)+f(3/2,1)+f(7/4,1)+f(1,5/4)+f(1,3/2)+f(1,7/4)+f(2,5/4)+f(2,3/4)+f(2,7/4)+f(5/4,2)+f(3/2,2)+f(7/4,2)}+4*{f(5/4,5/4)+f(5/4,3/2)+f(5/4,7/4)+f(3/2,5/4)+f(3/2,3/2)+f(3/2,7/4)+f(7/4,5/4)+f(7/4,3/2)+f(7/4,7/4)}]
+
-- 
cgit