Assignments

  

Assignment No 1

1.      Use Newton’s method to find solutions accurate to within 10^-3 for the following problems.

                

2.      Find all the zeros of the following function by using the fixed-point iteration method for an appropriate iteration function g. Find the zeros accurate to within 10^-3.

               

3.      Find an approximation tocorrect to within 10^-2 using the Bisection Algorithm.

 

4.      Use Secant and False-Position Methods to approximate the root of

     

 

Submission Date: 17-10-22

Lab Assignment No 1

Make a Maple Program for the following given numerical technique to approximate the solution of f(x)=x-0.8-0.2sin(x) with predefined accuracy of 10^-5. Choose the same interval for all techniques, and at the end write your conclusion that which technique is the best on the basis of your solution.

i.                    Bisection Method

ii.                  Secant Method

iii.                Regula Falsi Method

iv.                Newton’s Method

v.                  Fixed point method

vi.                Muller’s method

Note:- Make a word file of all the above techniques, and submit it in the hard form on October 27, 2022, at 5pm in the theory class.