2023 2024 Student Forum > Management Forum > Main Forum

 
  #1  
10th April 2015, 02:07 PM
Unregistered
Guest
 
Newton Raphson Method IITM

Can I get the notes of Newton-Raphson method to find the zero of the function for the IITM course ware. If you can give me some notes from IITM lectuare itself it would be great help for me. I am making a project on Newton Raphson Method for presentation at IITM.
Similar Threads
Thread
Hss iitm
Newton International Fellowship Reserve List
Iitm ece
Numerical Method in Engineering PTU
Method Of IAS Exam
Child Care Newton MA
EPA MBAs Method
Banking services chronicle subscribe method
Electrician Newton MA
Pest control Newton MA
Bath Spa University Newton Park Address
IITM EE Stores IITM EE
Ccd iitm
Mental Health Center Newton Ks
Newton Park Campus Bath Spa University
Runge Kutta method IITM
IITM Zip
AFMC MBBS 2014 Method of Selection
Method To Solve Non Verbal Resoning Questions
Competitive Quantitative Aptitude Questions solve method
  #2  
16th June 2018, 10:13 AM
Unregistered
Guest
 
Re: Newton Raphson Method IITM

My sister said me to search for Newton Raphson Method studying at IITM. I have more searched but didnt get any information about this method. Someone suggested me for this site, so is there anybody who will tell me about Newton Raphson Method studying at IITM?
  #3  
16th June 2018, 10:15 AM
Super Moderator
 
Join Date: Aug 2012
Re: Newton Raphson Method IITM

As you are looking for Newton Raphson Method studying at IITM, so I am providing following information:

IITM - Newton Raphson Method

GRAPHICAL INTERPRETATION :Let the given equation be f(x) = 0 and the initial approximation for the root is x0. Draw a tangent to the curve y = f(x) at x0 and extend the tangent until x-axis. Then the point of intersection of the tangent and the x-axis is the next approximation for the root of f(x) = 0. Repeat the procedure with x0 = x1 until it converges.

C1. Fixing apriori the total number of iterations N.
C2. By testing the condition | xi+1 - xi | (where i is the iteration number) less than some tolerance limit, say epsilon, fixed apriori.

Numerical Example :
Find a root of 3x+sin[x]-exp[x]=0
Let the initial guess x0 be 2.0
f(x) = 3x+sin[x]-exp[x] f '(x) = 3+cos[x]-exp[x]

i 0 1 2 3 4
xi 2 1.90016 1.89013 1.89003 1.89003

So the iterative process converges to 1.89003 in four iterations.

IITM - Newton Raphson Method





Quick Reply
Your Username: Click here to log in

Message:
Options

Thread Tools Search this Thread



All times are GMT +5. The time now is 11:48 AM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.
SEO by vBSEO 3.6.0 PL2

1 2 3 4