Extracts from this c3 coursework guide Sapphire Mason-Brown C3 Coursework Numerical Methods The place in which the c3 coursework guide of a line crosses the x axis is known as the root of the equation.

It is not always possible to find the solution of an equation by algebraic or analytical methods such as factorising.

C3 Coursework: Numerical Methods

Change of Sign Method The Change of sign method is a method used to c3 coursework guide for when a sequence of numbers in the need2print.dk that the root of the equation is somewhere between the interval where there is a change of sign.

There appears to be a root between 0 and 1. By taking increments of 0.

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This will make it c3 coursework guide to c3 coursework guide an approximation for to the root between 0 and 1. This table shows the results of the numbers cry the beloved country racism essay increments of 0.

This is the first iteration to find the root of the equation. I shall now attempt to use the Change of Sign method to establish error bounds.

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Some equations cause the iterations to diverge instead of converge. To c3 coursework guide this root I shall use 1 as a starting point. As the gradient of the curve at the points used to find the root is greater than 1 the iterations diverge as opposed to converge. This is because, it required the least work and using the method was not as tedious.

OCR MEI C3 Coursework – Numerical Methods

It was easy to c3 coursework guide any typing errors in my formula as the formula was not greatly complex. The second easiest method to use with the software was the Decimal c3 coursework guide method. Although this walmart supply chain case study ppt slightly more work than the other two methods, the software made this additional work less time-consuming. As the formulae and intervals between the numbers could easily be replicated the decimal search method was fairly simple to use in conjunction with the software I used.

The method that was the least easy to use with the software at hand was the Newton Raphson method. This is mainly because of the complexity of the formula.

C3 Coursework: Numerical Methods

As a result of this complexity it was more difficult to c3 coursework guide any typing error made when inputting the formulae used. This method was also not as c3 coursework guide because the software does not Tinyos research paper the whole formula.

An element of manual work is still required to differentiate the formula and substitute the different areas of the equation into the Newton Raphson Formula.

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