A THIRD ORDER OF MODIFIED NEWTON’S METHOD

M. Imran

Abstract


We discuss a modified Newton’s method, by looking at an approximation error of a numerical approximation on an
integral, and propose a modification using midpoint rule. We show that the modification is of order three. Comparison
among the discussed methods is also given by considering computational costs.
Keywords: modified Newton’s method, midpoint rule, trapezoidal rule

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