Numerical methods - Investigation and comparison

A-Level: Maths

Investigating numerical methods

The aim of this investigation is to analyze three methods of numerically finding the solutions to equations, the potential limitations and strengths of the methods below will also be discussed. The methods to be deployed are Change of Sign, Newton Raphson, and iterations. To allow later comparison, all methods will be deployed to find solutions to 5 d.p.

Change of sign method
y = x4 – 3x3 + x -1
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Error bounds
The solution was found to lie between 2.92299 and 2.92300, an assumed approximate answer is therefore 2.922995 with an error of .

The solution is displayed graphically below;
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