This Presentation Cover Basic Idea of 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
2

3. What is the Newton Raphson Method?
3
 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

4. Working Procedure & Example of Newton Raphson Method.
These are the steps
4

5. The best way to explain this is through an example
5

6. 6
Newton Rahpson
Method
Iteration
no.
0 2.0000000000 1.7209302187 0.8910911679
1 1.7209302187 1.6625729799 0.0347661413
2 1.6625729799 1.6601046324 0.0000604780
3 1.6601046324 1.6601003408 0.0000002435

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
7

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
8

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
9

10. 10

11. 11