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Solution of equations by Numerical Methods.
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- Words:
- 1067
- Submitted:
- Mon Oct 13 2003
...
Ashley Hilsdon Div 3
Pure 2 Coursework
Solution of equations by Numerical Methods
Method 1: The Change of Sign method
The simplest method for solving an f(x) function is to use a change of sign method; these include the methods of bisection, decimal search and linear interpolations.
Unfortunately, as well as being the simplest methods, they are also relatively cumbersome. The bisection was employed below for the function of f(x)=x5+3x2+x+2. This was also displayed graphically in the graph below.
The actual calculations for this method are summarised below in this table. I placed these with relevant diagrams
The error bounds for this result are conveniently provided by the use of this method, and are -1.485
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