1
Roll No______________
Examination
May-2014
COMPUTER ORIENTED
NUMERICAL METHODS
Subject Code : (BS
- 208)
Paper ID:B0416
Time : 03 Hrs.
Note : Section A compulsory. Section B consists of 6Qs,
attempt any four. Each carriers 10 marks.
SECTION–A
1.
a) Write about inherent, truncation Errors
b) Write 2-3 lines on floating point numbers.
c) Write 2-3 lines on Binary representations
of numbers.
d) Difference between Lagrange Interpolation
and Difference tables.
e) Which method do you think is the best for
finding solution in equations.
f) Give comparison of Integration formula
g) Define Simpson's rd rule
h) Give formula for Simpson's th rule
i) Difference between differentiation and
Integration
j) Define Spline Interpolation.
SECTION – B
2. From the table given below for what values of x, y is
minimum. Also find the value of y.
X
|
3
|
4
|
5
|
6
|
7
|
8
|
Y
|
205
|
240
|
259
|
262
|
250
|
224
|
3. Find the solution of following equations by elementary
row operations :
x-2y+ 3z = 4
2x+ y-3z = 5
-x+y+2z=3
4. Evalue (i) ∆2
Cos2x
(ii) ∆n(ex)
5. Evaluate 28 to four decimal places by
Newton's iterative method.
6. Give an algorithim for the development of Regula-falsi
method.
7. Given the following table.
X
|
1.2
|
2.1
|
2.8
|
4.1
|
4.9
|
6.2
|
y
|
4.2
|
6.8
|
9.8
|
13.4
|
15.5
|
19.6
|
Find the value of x corresponding to y = 12 using Lagrange's
technique.
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