Successive approximation method | Fixed point Iteration method| working rule with example in Hindi

Successive approximation method | Fixed point Iteration method| working rule with example in Hindi
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About this video:
It is also known as fixed point iteration method, iteration method, Direct substitution method or method of successive approximation.
It requires only one initial guess to start. Since it is open method its convergence is not guaranteed.
This method is used to find the roots of the form f(x)=0, if it is possible to express as x=g(x).
Working rule:
1) Write given equation f(x)=0 and find the initial guess x0 where f(x0) near to zero.
2)Write f(x) in the form of x = g(x), also find g’(x).
3)If |g’(x0)| less than 1 then follow step 4 if not then find different g(x) and check for convergence criteria.
4) If x0 is initial guess then next approximated root in this method is obtained by:
x1 = g(x1)
5) Similarly, next to next approximated root is obtained by using value of x1 i.e.
x2 = g(x2) and the process is repeated until we get root within desired accuracy.


Note: If you don't have basic knowledge of the subject then please see videos one by one of the playlist.


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Videos Playlist of different subjects and languages:

1) Operational Amplifier|Linear Integrated circuits (Hindi):

2) Operational Amplifier|Linear Integrated circuits (English):


3) Operational Amplifier|Linear Integrated circuits (Marathi):

4) Network analysis (Hindi) / Circuit analysis/ Circuit theory/ Basic Electrical Engineering


5) Network analysis (English) / Circuit analysis/ Circuit theory/ Basic Electrical Engineering




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