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

Wajid Ali Shaikh; Abdul Ghafoor Shaikh; Muhammad Memon; Abdul Hanan Sheikh

doi:10.22581/muet1982.2301.16

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

DOI: https://doi.org/10.22581/muet1982.2301.16

Keywords: Convergence Rate, Hybrid Numerical Iterative Technique, Nonlinear Problems, Conventional Iterative Techniques

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.