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Solving Equations Numerically
Member rating: No Rating | Words: | Submitted: Mon Sep 08 2003
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Pure 2 Coursework: Solving Equations Numerically Many cubic equations can be solved algebraically; however, many cannot, which means we have to give approximate answers. Graphs, like the one seen below, cannot be solved algebraically and have to be solved some other way. So, how can we solve these graphs to any degree of accuracy, and in the most efficient way possible? This problem comes up a lot in real life, as many equations in real life will not be able to be solved algebraically, and so other methods have to be used. There are a number of methods that can be used here, and in this coursework, I am going to describe a trio of good methods that all have their advantages and disadvantages. Interval Estimation - Change of Sign Method Now, as are looking for the values of x when the graph crosses the x-axis, we know that when there is a root, f(x)...
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