# Mohan Lal Sukhadia University (MLSU) 2001 B.Sc Computer Science Computer Oriented Numerical Methods - Question Paper

Saturday, 26 January 2013 01:10Web

First Year exam of the 3 Year

Degree Course, 2001

(Faculty of Science)

COMPUTER SCIENCE

Third Paper

(Computer Oriented Numerical Methods)

Time - 3 Hours

**Maximum Marks**- 50

Attempt 5 ques. in all,

choosing 1 ques. from every unit.

UNIT-I

**1.**How a floating point number is stored in the memory of a computer? explain with examples the procedures of 4 basic arithmetic operations using normalized floating point numbers. 10

OR

**2.**What do you mean by roots of an equation? explain the successive bisection method of evaluating roots of a non-linear formula in 1 variabl

**e.**Develop the algorithm of the metho

**d.**10

UNIT 2

3.. explain the Gauss Seidel method for the solution of simultaneous equations. What is Pivoting? discuss its use in Gauss Seidel Metho

**d.**provide a comparison of direct and iterative methods. 2+4+4

OR

**4.**explain the Gauss elimination method of solving simultaneous linear equations. Develop the algorithm for the metho

**d.**4+3+3

UNIT 3

5 . discuss the Euler's method of solving ordinary differential equations. Develop the algorithm of the metho

**d.**explain the fault in the Euler's metho

**d.**10

OR

**6.**Using Runge-Kutta 4th order method obtain the solution of the subsequent ordinary differential formula at x=0.4 the intial values are y=1 at x=0. Use the steps of size 0.

**2.**10

dx/dy=x+y2

UNIT 4

**7.**What is difference table ? Construct a difference table from the subsequent data and hence using the polynomial interpolation obtain the value of function f

**(**at x= 2.0 :- 10

**x)**X f (x)

-1.0 3.0

0.0 5.0

1.0 1.0

3.0 -1.0

1.0 13.0

OR

**8.**explain the method of approximating a function by using Chebyshev series. Use this

method to approximate the series expansion of sin

**(**for 3 digits accuracy. 10

**x)**UNIT 5

9 . discuss the method of numerical differentiation. explain the fault in the differentiation formula

**e.**Using this method obtain the differential of function f

**(**at x = 1.3 from the subsequent tabulated data :- 3+2+5

**x)**X f(x)

1.0 0.0

1.2 0.365

1.4 0.673

1.6 0.940

1.8 1.176

OR

**10.**discuss the Simpsonâ€™s rule of numeric integration. What is the estimated fault in this method? Write the algorithm for the Simpsonâ€™s metho

**d.**10

Earning: Approval pending. |