MTH603-Numerical Analysis Assignments Discussion and Solution Fall 2014 Due Date:12 May, 2014

Assignment # 1 (Lecture# 01 - 08) Of MTH603 (Spring 2014)                                                                                                          

 

                                                                                             Maximum Marks: 30       

                                                                                                                                                      Due Date: 12 May, 2014

                                                                                                                                                                                                                                                                                                  

 

 

INSTRUCTIONS

 

Please read the following instructions before attempting the solution of this assignment:

  •      Upload assignments properly through LMS, No Assignment will be accepted through email.

  •      Write your ID on the top of your solution file.

Don’t use colorful back grounds in your solution files.

Use Math Type or Equation Editor etc. for mathematical symbols and equations.

You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students. Therefore, try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks.

Also remember that you are supposed to submit your assignment in Word format any other like scan images, HTML etc. will not be accepted and we will give zero marks correspond to these assignments.

 

Question: 1                                                                                                                               Marks: 10

 

The roots of the following equation are and. Using Muller method approximates the root upto four decimal places.

                                                       

                                                                                                             

 

Question: 2                                                                                                                               Marks: 10

 

Using Newton-Raphson method approximates the root of the following equation in the interval  upto the three decimal places.

                                                       

Note: All the calculations should be in radian.

 

 

 

 

 

 

 

 

 

 

 

 

Question: 3                                                                                                                               Marks: 10

 

Using Regula Falsi method approximates the root of the following equation upto four decimal places.

                                                       

Note: The following graph of above equation can be very helpful in finding the interval of the root. So, I am not mentioning the interval there as mentioned above. So, try to find the appropriate interval then apply the method. Otherwise, the convergence would be very slow