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Department of Mathematics Page 1 of 1 Dr. Muhammad Sagheer Muhammad Ali Jinnah University Islamabad Campus EE2403 Numerical Analysis Assignment No.1 Q1. Use the Bisection Method to find the solution accurate to 3 10 for the following equations in the given interval: a) ] 2 , 1 [ ; 0 1 3 x x b) ] 2 , 1 [ ; 0 6 cos 2 2 x e x x Q2. The equation 0 10 4 2 3 x x has a unique root in ] 2 , 1 [ .Convert this equation to the following forms and then for each of these forms, find its approximate root by the fixed point iterative scheme using 5 . 1 0 x as the initial guess running 6 iterations: a) 3 10 2 1 x x b) x x 4 10 c) x x x x x x 8 3 10 4 2 2 3 Q3. Use th e Newton’s Method to find the solution accurate to 3 10 for the following equations with the given initial guess: a) 5 . 1 ; 0 1 0 3 x x x b) 1 cos 4 0 x e x x

Assignment no. 1

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Page 1: Assignment no. 1

Department of Mathematics

Page 1 of 1 Dr. Muhammad Sagheer

Muhammad Ali Jinnah University

Islamabad Campus

EE2403 – Numerical Analysis

Assignment No.1

Q1. Use the Bisection Method to find the solution accurate to 310 for the following equations in the

given interval:

a) ]2,1[;013 xx

b) ]2,1[;06cos22 xe xx

Q2. The equation 0104 23 xx has a unique root in ]2,1[ .Convert this equation to the following

forms and then for each of these forms, find its approximate root by the fixed point iterative

scheme using 5.10 x as the initial guess running 6 iterations:

a) 3102

1xx

b) x

x

4

10

c) xx

xxxx

83

1042

23

Q3. Use the Newton’s Method to find the solution accurate to 310 for the following equations with

the given initial guess:

a) 5.1;01 0

3 xxx

b) 1cos4 0 xex x