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

Authors

  • Tusar Singh (Department of Mathematics, Ravenshaw University, Cuttack - 753003, Odisha, INDIA)
  • Dwiti Krushna Behera (Department of Mathematics, Ravenshaw University, Cuttack - 753003, Odisha, INDIA)

Keywords:

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

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.

 

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Published

2023-06-19

Issue

Vol. 18 No. 01 (2022): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles