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Solving equations by numerical methods - The Interval Bisection method
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Pure Mathematics 2 Coursework Solving equations by numerical methods The Interval Bisection method The coursework on Numerical Methods shows the techniques that can be applied to find the solutions of equations, which have no algebraic solution. The first method is the Interval Bisection Method. It involves finding an interval of x in which f(x) changes sigh. If f(x) is a continuous function, it follows that it has a root within that interval. The equation for this method that I took is x³+2x²-x-3=0. It is clearly seen on the graph that one of the roots of the equation is between 1 and 2. Within this interval f(x) changes the sigh from negative to positive. To find the root I built a table where a is the lower limit of the interval (in this case 1) and b is the upper limit of the interval (in this equation it is 2). The table looks like...
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