Article overview
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 methodIterative methodBoole's ruleConvergence analysisModified super Halley method.
AMS Subject Classification
65D32, 65H04, 65H05.
Reference information
How to Cite
Tusar Singh, Dwiti Krushna Behera (2022). A NEW APPROACH OF ITERATIVE METHODS FOR SOLVING NON-LINEAR EQUATIONS USING BOOLE’S QUADRATURE. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 277-286.