Open Journal of Mathematical Sciences
Vol. 5 (2021), Issue 1, pp. 94 – 100
ISSN: 2523-0212 (Online) 2616-4906 (Print)
DOI: 10.30538/oms2021.0148
ISSN: 2523-0212 (Online) 2616-4906 (Print)
DOI: 10.30538/oms2021.0148
New Simpson type method for solving nonlinear equations
U. K. Qureshi\(^1\), A. A. Shaikhi, F. K. Shaikh, S. K. Hazarewal, T. A. Laghari
Department of Business Administration, Shaheed Benazir Bhutto University, Sanghar, Sindh, Pakistan.; (U.K.Q)
Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology Jamshoro, Sindh, Pakistan.; (A.A.S & F.K.S & S.K.H & T.A.L)
\(^{1}\)Corresponding Author: umair.khalidsng@sbbusba.edu.pk
Copyright © 2021 U. K. Qureshi, A. A. Shaikhi, F. K. Shaikh, S. K. Hazarewal, T. A. Laghari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: December 10, 2020 – Accepted: January 12, 2021 – Published: March 16, 2021
Abstract
Finding root of a nonlinear equation is one of the most important problems in the real world, which arises in the applied sciences and engineering. The researchers developed many numerical methods for estimating roots of nonlinear equations. The this paper, we proposed a new Simpson type method with the help of Simpson 1/3rd rule. It has been proved that the convergence order of the proposed method is two. Some numerical examples are solved to validate the proposed method by using C++/MATLAB and EXCEL. The performance of proposed method is better than the existing ones.
Keywords:
Nonlinear equation; Simpson 1/3rd rule; Numerical integration; Convergence.