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

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

Authors: Wajid Ali Shaikh, Abdul Ghafoor Shaikh, Muhammad Memon, Abdul Hanan Sheikh

Journal: Mehran University Research Journal of Engineering and Technology

HEC Recognition History
Category From To
Y 2024-10-01 2025-12-31
Y 2023-07-01 2024-09-30
X 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30
X 2012-10-18 2020-06-30
Y 2006-11-07 2012-10-17
Y 1900-01-01 2005-06-30

Publisher: Mehran University of Engineering & Technology, Jamshoro

Country: Pakistan

Year: 2023

Volume: 42

Issue: 1

Language: English

DOI: 10.22581/muet1982.2301.16

Categories
Numerical Analysis (431) Applied Mathematics (727) Computational Science (94) Engineering Mathematics (8) Mathematics (5170)

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.

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