No. of Pages: 3

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
THIRD SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER 201 7

Branch: Mechanical

Stream(s): Machine Design

Manufacturing and Automation

Course Code & Name: 01ME7111: ADVANCED NUMERICAL METHODS

Adlswer any two full questions from each part

Limit answers to the required points.

Max. Marks: 60 Duration: 3 hours
PARTA

1. 2, Find by Newton-Raphson method, correct to three decimal places the root between 0
and 1 of the equation x?-2X+5=O (4 Marks)

0. Using Regula Falsi method solve % - logx-12=O up to three decimal ( 3 Marks) places

௦. Explain the concept of ill conditioned equations. (2 Marks)

2. ട്ട. Solve the systems of equations by gauss- Jordan method (4 Marks)
X+Y+Z29
2x-3y-4z=13
3X+4Y+5z=40

b. Solve the systems of equations by Relaxation method

9x-Y+2z=9, x+10y-2z=15, 2x-2y-13z=17 (5 Marks)
3. a. Use Newton Raphson method solve the equations “tY*=*,X*-¥"=with (7 Marks)
%0-0.8,/0-0.4.

b. Explain the concept of Newton Raphson method in solving (2 Marks) transcendental
equations.