Affiliation:
1. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan
Abstract
Various iterative methods have been introduced by involving Taylor’s series on the auxiliary function
to solve the nonlinear equation
. In this paper, we introduce the expansion of
with the inclusion of weights
such that
and knots
in order to develop a new family of iterative methods. The methods proposed in the present paper are applicable for different choices of auxiliary function
, and some already known methods can be viewed as the special cases of these methods. We consider the diverse scientific/engineering models to demonstrate the efficiency of the proposed methods.
Cited by
8 articles.
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