Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems

  • Wajid Ali Shaikh Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh Pakistan
  • Abdul Ghafoor Shaikh Department of Basic Sciences and Related Studies, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh Pakistan
  • Muhammad Memon Department of Basic Sciences and Related Studies, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah Sindh Pakistan
  • Abdul Hanan Sheikh College of Computer Science and Information Systems, Institute of Business Management, Karachi Sindh Pakistan

Abstract

This study explored the convergence rate of the hybrid numerical iterative technique (HNIT) for the solution of nonlinear problems (NLPs) of one variable ( f (x) = 0) . It is sightseen that convergence rate is two for the HNIT. By the HNIT, several algebraic and transcendental NLPs of one variable have been illustrated as an approximate real root for efficient performance. In many instances, HNIT is more vigorous and attractive than well-known conventional iterative techniques (CITs). The computational tool MATLAB has been used for the solution of iterative techniques.

Published
Jan 1, 2023
How to Cite
SHAIKH, Wajid Ali et al. Convergence rate for the hybrid iterative technique to explore the real root of nonlinear problems. Mehran University Research Journal of Engineering and Technology, [S.l.], v. 42, n. 1, p. 177-182, jan. 2023. ISSN 2413-7219. Available at: <https://publications.muet.edu.pk/index.php/muetrj/article/view/2585>. Date accessed: 06 feb. 2023. doi: http://dx.doi.org/10.22581/muet1982.2301.16.
This is an open Access Article published by Mehran University of Engineering and Technolgy, Jamshoro under CCBY 4.0 International License