A New Modified Newton Method use of Haar wavelet for solving Nonlinear equations

2016/12/27 by Mishra, Bijaya, Pany, Ambit Kumar, Dutta, Salila
#65H04 #65H05 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1701.00468

Abstract

In this paper, we present a new modified Newton method a use of Haar wavelet formula for solving non-linear equations. This new method do not require the use of the second-order derivative. It is shown that the new method has third-order of convergent. Furthermore, some numerical experiments are conducted which confirm our theoretical findings.

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