ROOTS OF EQUATIONS

NUMERICAL METHODS

The purpose of this Lectures chapter is to document the findings of a comparison between the four methods (including the False Position Method, Fixed point Method, Bisection Method and the Newton-Raphson Method). There is a computational algorithm for each of the procedures. Ten iterations are needed for the provided approaches to converge/diverge, while the False Position Method and the Newton-Raphson Method converge after just three, three iterations, respectively. All four approaches produce the same precise root value. From these tests, we can deduce that the Newton-Raphson Method is superior to the others, including the Method of False Position. Lectured at Civil Engineering Department Course Lectures for 3rd Level students Numerical Methods & Matlab Programming Computer Laboratory