A NEW APPROACH OF ITERATIVE METHODS FOR SOLVING NON-LINEAR EQUATIONS USING BOOLE’S QUADRATURE

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 208

Volume : 18 , Issue : 1
DOI:
Author :
Tusar Singh (Department of Mathematics, Ravenshaw University, Cuttack - 753003, Odisha, INDIA)
Dwiti Krushna Behera (Department of Mathematics, Ravenshaw University, Cuttack - 753003, Odisha, INDIA)

Abstract

In this paper, we produced two efficient iterative methods improvising two earlier methods for solving non-linear equations using a quadrature of higher precision. The convergence analysis of the methods are studied. Using these new methods, some non-linear equations have been solved numerically. The results are found to be more encouraging as compared to those by using some earlier established methods.

Keywords and Phrases

Newton-Raphson method, Iterative method, Boole's rule, Convergence analysis, Modified super Halley method.

A.M.S. subject classification

65D32, 65H04, 65H05.

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