MEI C3 Coursework

... MEI C3 Coursework Numerical Solutions of Equations Introduction The objective of this coursework is to provide an understanding of numerical methods for solving equations, when algebraic methods cannot be implemented. By the end of this coursework I should be able to confidently apply these numerical methods as and when the necessity to arises. During the course of this piece of coursework I will be investigating the solution of equations using three methods: decimal search, the Newton-Raphson method and fixed point iteration after rearranging the equation f(x)=0 into the form x=g(x). The Decimal Search The Decimal Search, which is a systematic search for a change of sign, involves finding an interval in which a function of x, f(x), changes sign. If f(x) is a continuous function, it follows that it has a root within that particular interval. The first step in a decimal search would involve making a guess of an interval in which the

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