From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001
From: prashantsinalkar
Date: Tue, 10 Oct 2017 12:27:19 +0530
Subject: initial commit / add all books

---
 260/CH12/EX12.4/12_4.sce | 37 +++++++++++++++++++++++++++++++++++++
 1 file changed, 37 insertions(+)
 create mode 100644 260/CH12/EX12.4/12_4.sce

(limited to '260/CH12/EX12.4')

diff --git a/260/CH12/EX12.4/12_4.sce b/260/CH12/EX12.4/12_4.sce
new file mode 100644
index 000000000..03d55a184
--- /dev/null
+++ b/260/CH12/EX12.4/12_4.sce
@@ -0,0 +1,37 @@
+//Eg-12.4
+//pg-514
+
+clear
+clc
+
+x = 0.01;
+h1 = 0.0001;
+h2 = h1/2;
+
+Re = 10^4;
+
+deff('out = func(in)','out = 1/in^0.5 - 1.77*log(Re*in^0.5) + 0.6')
+
+//Using central difference formula
+
+Dh11 = (func(x+h1)-func(x-h1))/(2*h1);
+
+Dh21 = (func(x+h2)-func(x-h2))/(2*h2);
+
+Dh12 = (-func(x+2*h1) + 16*func(x+h1) - 30*func(x) + 16*func(x-h1) - func(x-2*h1))/(12*h1^2);
+
+Dh22 = (-func(x+2*h2) + 16*func(x+h2) - 30*func(x) + 16*func(x-h2) - func(x-2*h2))/(12*h2^2);
+
+
+
+//Using equation [16],
+
+D1new = 4/3*Dh21 - 1/3*Dh11;
+
+D2new = 4/3*Dh22 - 1/3*Dh12;
+
+printf('First Derivative = %f\n',D1new)
+printf('Second Derivative = %f\n',D2new)
+
+printf('\nAnalytically : \n')
+printf('First Derivative = -588.5\nSecond Derivative = 83850\n')
\ No newline at end of file
-- 
cgit