A fourth order regula-falsi Newton-like method for enclosing simple zeros of nonlinear equations. (2016)

• Record Type: Journal Article
• Authors: Nisha, Shwet; Parida, Pradip K.
• Is Part Of: International journal of applied nonlinear science. Volume 2:Number 4(2016)
• Page Start: 258
• Page End: 269
• Publication Date: 2016
• Subjects: nonlinear equations -- order of convergence -- regula-falsi method -- Newton-like methods; Science -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; Nonlinear theories -- Periodicals; 501.5118
• Languages: English
• ISSNs: 1752-2862

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.