C3 Coursework

C3 Coursework

Numerical Methods

In this coursework I am going to investigate numerical methods of solving equations. The methods I will use are:

1. Change of sign method, for which I am going to use decimal search

2. Fixed point iteration using x = g(x) method

3. Fixed point iteration using Newton-Raphson method

I will then compare the methods in terms of speed of convergence and ease of use with hardware/software

Contents

|Change of sign |
|Decimal search |3 |
|Failure of change of sign method |7 |
| |
| x = g(x) |
|x = g(x) method |8 |
|Failure of x = g(x) method |12 |
| |
|Newton-Raphson |
|Newton-Raphson method |13 |
|Failure of Newton-Raphson method |16 |
|