METODE ITERASI BERORDE EMPAT UNTUK MENEMUKAN AKAR GANDA PERSAMAAN NONLINEAR
No Thumbnail Available
Date
2019-08-15
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
wahyu sari yeni
Abstract
This article discusses a new iterative method for finding multiple roots of nonlinear
equations with known multiplicity. This method is obtained by combining the
modified Newton’s method and the weighted Newton’s method for multiple roots.
Analytically it is showed using the Taylor’s expansion, the geometric series, and
the binomial series that the iterative method has a fourth order of convergence.
A special case of the proposed method is also considered. Numerical comparisons
shows that the proposed method can be used as an alternative method in obtaining
multiple roots of nonlinear equations.
Description
Keywords
Nonlinear equation, iterative method, multiple roots, modified Newton’s method