Title: A fourth order regula-falsi Newton-like method for enclosing simple zeros of nonlinear equations

Authors: Shwet Nisha; Pradip K. Parida

Addresses: Centre for Applied Mathematics, Central University of Jharkhand, Ranchi-835205, India ' Centre for Applied Mathematics, Central University of Jharkhand, Ranchi-835205, India

Abstract: In this paper, we have developed an improved regula falsi method of order four for finding simple roots of nonlinear equations f(x) = 0, where f : [a; b] ⊂ R → R is a given continuously differentiable function. This is done by combining a Newton-like method of order four to solve f(x) = 0 and the usual regula-falsi method. Convergence analysis for the method has been given in this paper. Finally some numerical examples are presented and comparison has been made with existing results.

Keywords: nonlinear equations; order of convergence; regula-falsi method; Newton-like methods.

DOI: 10.1504/IJANS.2016.085803

International Journal of Applied Nonlinear Science, 2016 Vol.2 No.4, pp.258 - 269

Received: 13 Dec 2015
Accepted: 20 Aug 2016
Published online: 14 Aug 2017 *

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