B.Sc.COMPUTER SCIENCE Annamalai university question paper december 2014

Annamalai university question paper december 2014
Total No. of Pages: 2 5386
Register Number:
Name of the Candidate:
B.Sc. DEGREE EXAMINATION December 2014
(COMPUTER SCIENCE)
(FIRST YEAR)
140/130. SCIENTIFIC COMPUTING
(Common for B.Sc IT, B.C.A)
Time: Three hours Maximum: 100 marks
 Answer any FIVE questions (5× 20 = 100)
 1. a) Find the positive root of x3-x=1 by bisection method.
 b) Using Newton –Raphson method solve the following equation x tan
x=1.28
 2. a) Solve for a positive root of x3-4x+1=0 by Regular Falsi method.
 b) Solve to system by Gauss –elimination method 2x+3y-z=5; 4x+4y-
3z=3; 2x-3y+2z=2
3. a) Solve by Crout’s method.
x+y+z=3, 2x-y+3z=16, 3x+y-z=-3
 b) Solve the following system of equation by using Gauss-Seidel
method.
8x-3y+2z=20, 4x+11y-z=33; 6x+3y+12z=35
4. a) From the following data find y(46)
x 45 50 55 60 65
y 114.84 96.16 83.32 74.48 68.48
 b) Use Lagrange’s formula to fit a polynomial to the data
x -1 0 2 3
y -8 3 1 12
5. a)
Evaluate ∫
+
1
0
2
1 x
dx using trapezoidal rule with h=0.2.
 b)
Using Taylor series method. Find y(0.1) given 2 2
x y
dx
dy
= + and y(0)=1
6. a) Apply the fourth order Runge –Kutta method to find y(0.2) given
that y'=x+y, y(0)=1.
2
 5386
 b)
Given 2 2
1( )
2
1
x y
dx
dy
= + , y(0)=1, y(0.1)=1.06 y(0.2)=1.12 and
y(0.3)=1.21 evaluate y(0.4) by Milne’s method.
7. a) Solve yx+2-5yx+1+6yx=x2+x+1
 b) Fit a straight line to the following data
x 1 2 3 4 5 6
y 14 27 41 56 68 75
8. Solve Uxx+Uyy=0 over the square mesh of side 4 units satisfying the
following boundary conditions.
i) u(0,y)=0 for 0≤ y ≤ 4
ii) u(4,y)=12+y for 0≤ y ≤ 4
iii) u(x,0)=3x for 0≤ x ≤ 4
iv) u(x,4)=x2 for 0≤ x ≤ 4
******* 

Share This