Sachpazis Costas: Geotechnical Engineering: A student's Perspective Introduction
Numerical method
1. Md. Masud Rana
ID# 163015013
Newton Raphson Method
Green University of
Bangladesh 1
2. Topics Layout
What is the Newton Raphson Method?
Working Procedure & Example of Newton Raphson Method
Advantage & Disadvantage of Newton Raphson Method
Real-life Application of Newton Raphson Method
Summary of Newton Raphson Method
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3. What is the Newton Raphson Method?
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The Newton-Raphson method is a way to quickly find a root for a equation
It is a branch of open method
It is a very faster method than other method
Newton Raphson Formula=
r
r
rr
rr
r
r
xf
xf
xx
xx
xf
xf
TM
PM
PTM
1
1
tan
7. Advantage & Disadvantage of Newton Raphson Method.
Advantage:
This method converges faster than the earlier methods. In fact the method converges at a
quadratic rate.
This load flow method is faster, more reliable and the results are accurate.
Suitable for large system
Disadvantage:
Programming is more complex.
The memory requirement is more.
Computational time per iteration is higher due to larger number of calculations per iteration
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8. Real-life Application of Newton Raphson Method.
Usually used in computer science for root algorithm.
It is used to determine profit and loss in the company.
Used for Multidimensional root finding.
Solving practical technical problems using scientific and mathematical tools
Network Simulation
Rain and Traffic signal
Weather prediction
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9. Summary of Newton Raphson Method
The Newton-Raphson method is an alternative to solve roots for equations
It uses a correction factor
Used in computer programs today to solve extremely complicated equations
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