# Numerical Methods ND11 MA2264

B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2011.
Fourth Semester
Electrical and Electronics Engineering
MA 2264 - NUMERICAL METHODS
(Common to Fifth Semester, Polymer Technology, Chemical Engineering and
Plastic Technology and Fourth Semester Aeronautical Engineering and Civil
Engineering and Sixth Semester Computer Science and Engineering,
Electronics and Communication Engineering and Information Technology)
(Regulation 2008)

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PART A — (10 × 2 = 20 marks)

1. Solve e - 3x = 0 x by the method of iteration.
2. Using Newton’s method, find the root between 0 and 1 of 6 4 x 3 = x - .
3. State Lagrange’s interpolation formula for unequal intervals.
4. Define cubic spline function.
5. State Simpson’s one-third rule.
6. Write down two point Gaussian quadrature formula.
7. State Euler’s method to solve f (x , y)
dx/dy = with 0 0 y(x ) = y .
9. Classify the PDE - = 0 xx yy y xu .
10. State Standard Five Point formula with relevant diagram.

PART B — (5 × 16 = 80 marks)

11. (a) (i) Find an iterative formula to find the reciprocal of a given
number N and hence find the value of 1/19(6)
(ii) Apply Gauss-Jordan method to find the solution of the following system :

For Rest of the paper please download the PDF. Since we can have equation written here. Thanks