Computer Oriented Numerical Methods B.Sc Question Paper : mlsu.ac.in

University : Mohan Lal Sukhadia University
Degree : B.Sc
Department : Computer Science
Subject : Computer Oriented Numerical Methods
Year : I
Document Type : Question Paper
Website : mlsu.ac.in

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MLSU Computer Oriented Numerical Methods Question

First Year Examination of the Three Year Degree Course, 2001
COMPUTER SCIENCE Third Paper
(Computer Oriented Numerical Methods)

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Time – Three Hours
Maximum Marks – 50
Attempt FIVE questions in all, choosing ONE question from each unit.

UNIT-I

1. How a floating point number is stored in the memory of a computer- Discuss with examples the procedures of four basic arithmetic operations using normalized floating point numbers. 10
OR
2. What do you mean by roots of an equation- Discuss the successive bisection method of evaluating roots of a non-linear equation in one variable. Develop the algorithm of the method. 10

UNIT 2

3.. Discuss the Gauss Seidel method for the solution of simultaneous equations. What is Pivoting- Explain its use in Gauss Seidel Method. Give a comparision of direct and iterative methods. 2+4+4
OR
4. Discuss the Gauss elimination method of solving simultaneous linear equations. Develop the algorithm for the method. 4+3+3

UNIT 3

5 . Explain the Euler’s method of solving ordinary differential equations. Develop the algorithm of the method. Discuss the error in the Euler’s method. 10
OR
6. Using Runge-Kutta fourth order method find the solution of the following ordinary differential equation at x=0.4 the intial values are y=1 at x=0. Use the steps of size 0.2.

UNIT 4

7. What is difference table – Construct a difference table from the following data and hence using the polynomial interpolation find the value of function f(x) at x= 2.0 :-

8. Discuss the method of approximating a function by using Chebyshev series. Use this method to approximate the series expansion of sin (x) for three digits accuracy.

9 . Explain the method of numerical differentiation. Discuss the error in the differentiation formulae. Using this method find the differential of function f(x) at x = 1.3 from the tabulated data
10. Explain the Simpson`s rule of numeric integration. What is the estimated error in this method – Write the alogerithm for the simpson`s method. 10