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.