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**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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**ANNA UNIVERSITY SYLLABUS: CLICK HERE**

**ANNA UNIVERSITY**PAPERS:**CLICK HERE**

**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 .

8. State Adam’s predictor-corrector formulae.

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**

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