CD Skripsi
Perbandingan Beberapa Modifikasi Metode Iterasi Newton Untuk Mencari Solusi Persamaan Nonlinear
ABSTRACT
This nal project discusses the comparison of three new iterative methods, the
trapezoidal Newton method, the midpoint Newton method, and the modied
midpoint Newton method, for solving nonlinear equations. The process of de-
veloping these three methods involves using tangent line equations formed by
integrals and approximated using the trapezoidal rule and midpoint. Conver-
gence analysis shows that all three methods have a third-order convergence rate.
Several numerical examples are provided to compare these three methods with
the Newton method.
Keywords: Convergence order, Newton's method, Newton's trapezoidal rule,
Newton's midpoint rule, Modied Newton's midpoint rule
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