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arianabedi
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Real Work Application of "Newthon-Raphson" method.
Hi, an undergrad engineering (presentation) question:
As a presentation, I am (plus a group mate) tasked to present a real world application of the Newthon-Raphson method (of finding a root). Now I know that we can also find minima/maxima of a graph with it by modifying the equation (which i would like to avoid since we actually haven't covered that, its from my own research). However I can't think of any real world application where Newton-Raphson is the best way to find the root of a graph.
Can anyone give me some ideas on where this method could be used in say the "real world"?
I guess that main thing I would like to know is where do we actually use a root of a number in engineering? Since all I've done is principles with no practical use.
Newthon-Raphson iteration formula:
[tex] x_{n-1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})} [/tex]
...phew that took a while to write :D
I tried several simple graphs (speed/time , acceleration/time and some other high school physics stuff but in all cases they didn't seem like a real world application since there was always another way of finding say the "x" axis's intercept.
*NOTE:
By the time I reached here in the tread, I thought of maybe relating it to say some growth of bacteria which multiplies by it self (haven't done any maths on it yet) but that that's all Biology. Or maybe the inverse square rule for gravitational pull; but then again I'm not sure where we use it (NASA?) i'll have to do more research.
Homework Statement
Hi, an undergrad engineering (presentation) question:
As a presentation, I am (plus a group mate) tasked to present a real world application of the Newthon-Raphson method (of finding a root). Now I know that we can also find minima/maxima of a graph with it by modifying the equation (which i would like to avoid since we actually haven't covered that, its from my own research). However I can't think of any real world application where Newton-Raphson is the best way to find the root of a graph.
Can anyone give me some ideas on where this method could be used in say the "real world"?
I guess that main thing I would like to know is where do we actually use a root of a number in engineering? Since all I've done is principles with no practical use.
Homework Equations
Newthon-Raphson iteration formula:
[tex] x_{n-1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})} [/tex]
...phew that took a while to write :D
The Attempt at a Solution
I tried several simple graphs (speed/time , acceleration/time and some other high school physics stuff but in all cases they didn't seem like a real world application since there was always another way of finding say the "x" axis's intercept.
*NOTE:
By the time I reached here in the tread, I thought of maybe relating it to say some growth of bacteria which multiplies by it self (haven't done any maths on it yet) but that that's all Biology. Or maybe the inverse square rule for gravitational pull; but then again I'm not sure where we use it (NASA?) i'll have to do more research.