3rd Assignment of Numerical Methods in Engineering

Beant College of Engineering & Technology Gurdaspur

5^th Semester Mech (Section A&B)

3^rd  Assignment of  Numerical Methods in Engineering (ME 309) (10 Marks)

Due date: 23/10/12

Q1.      Use Gauss elimination method to solve following system of equations:

4x + y + 2z=3; x + y + 2z = 0; 2x + 3y + z = 4.

Q2.      Use Gauss Jordan method to solve following system of equations:

3x + 2y + 7z = 4; 2x + 3y + z = 5; 3x + 4y + z = 7.

Q3.      Using decomposition method, solve following system of equations:

x + y + z = 1; 4x + 3y - z = 6; 3x + 5y + 3z = 4.

Q4.      Using relaxation method, solve following system of equations:

3x + 9y - 2z = 11; 4x + 2y + 13z = 24; 4x - 4y + 3z = - 8.

Q5.      Using Gauss Seidal method, solve following system of equations:

10x + 2y + z = 9; 2x + 20y - 2z = -44; -2x + 3y + 10z = 22.

Q6.      Using Jacobi method, solve system of equations given in Q5.

Q7.      Using three iterations of Newton Raphson method for non-linear system of equations, solve

x²y + y³ = 10; xy² – x² = 3.