Uploaded by Dr. Atheed Habeeb Taha

third final 2 2nd 2019/university of Basrah

University of Basrah – College of Engineering
Department of Materials Engineering
Exam: Final (2) 2nd Sem.
Date: 15 /09/2019
Time: 2 Hours
Subject: Numerical Analysis (E321 )
Class: 3rd Year
Examiner: Dr. Emad O. Bajee
Q.1/ (15 Marks)
Given the following set of points:
x
1.0
2
2.5
3
f(x)
6
12
15.75
20
Using the Newton interpolation formula, find (1.5)
Q.2/ ( 15 Marks)
Using power fit method and the table below, find numerically the function and total error.
X
F(x)
1
6
2
24
3
54
4
96
Q3/ ( 15 Marks)
3
Using numerical integration method, evaluate ∫1 𝑒 3𝑥 = 3
Q4 (15 Marks)
Consider the following equation and boundary conditions as shown in figure below
𝜕2𝑢
𝜕𝑥 2
𝜕2𝑢
+ 𝜕𝑦2 = 0 . Find the temperature distribution of the square plate (1.5 * 1.5) when
h=k=0.5.
100 x oC
0 oC
100 x oC
0 oC
Dr. Emad O. Bajee
Examiner
Dr. Haider M. Mohammed
Head of the Department