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An Efficient Two-Step Iterative Technique for Solving Non-Linear Equations

Author(s)
Muhammad Shazib Hameed Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, 64200, Rahim Yar Khan, Pakistan.
Zaheer Ahmad Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, 64200, Rahim Yar Khan, Pakistan.
Faisal Ali Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, 60800, Multan, Pakistan.
Abstract
We use the homotopy perturbation method (HPM) to construct a new iterative system for solving non-linear equations in this article. The criteria for convergence in the scheme developed are also imposed. To show the validity and reliability of our process, we compare our regime with other current procedures by looking at various test problems.
Publication Details
Page(s) 497-509
DOI 10.52280/pujm.2021.530704
Published Journal: Punjab University Journal of Mathematics, Volume: 53, Issue: 7, Year: 2021

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Keywords
Order of Convergence, Iterative technique, Two-step iterative technique, Non-linear equations, Homotopy perturbation Method.
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