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Solution of equations by numerical methods.
Member rating: No Rating | Words: | Submitted: Tue Oct 14 2003
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PURE MAHEMATICS 2 COURSEWORK SOLUTION OF EQUATIONS BY NUMRICAL METHODS 1. Change of sign Method * Decimal Search * Chosen Equation: Y = 2X3 - 5X -2 There are three possible roots for this equation as its graph crosses the x-axis three times. By looking at the graph it is possible to estimate the where about of the roots. Furthermore by testing for the existence of change of sign between any two chosen points I could be able to decide if there is a root or not. Looking at the graph of any equation is also vital as there might be some discontinuities. I will be testing if there is a root between points [-1,0]. i. For [-1,0] - Substituting this two points in the equation Y = 2X3 - 5X-2 gives: x -1 0 y 1 -2 As it can be seen there is a change of sign, which implies that there is a root between the two points. To find this point...
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