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Numerical Solutions of Equations
- Essay length: 2256 words
- Submitted: 13/01/2005
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P2 Maths Coursework
Numerical Solutions of Equations
Introduction
The aim of this coursework is to compare three different numerical methods of solving equations. This will allow us to determine which one is the most efficient, quickest and easiest method to use.
The three methods I will use are:
- Decimal Search method
- Newton-Raphson method
- Rearranging method
Decimal Search
The decimal search is named as it employs the tactic of splitting the current interval of x values into 10 equal intervals of equal size and looking for a change of sign.
This process is then repeated, again splitting the current interval into 10 equal intervals of equal size and this can be continued until the root has been found to the required degree of accuracy.
The equation that I have chosen to solve is y = x5 - 2.7x + 1.8
It is illustrated by the graph below.
This is the same equation but has been zoomed in.
y = x5 - 2.7x + 1.8
y = x5 - 2.7x + 1.8 crosses the x-axis between x = -2 and x = -1.
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