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A novel two point optimal derivative free method for numerical solution of nonlinear algebraic, transcendental Equations and application problems using weight function

Author(s)
Sanaullah Jamali Institute of Mathematics and Computer Science, University of Sindh,Jamshoro, Sindh-,Pakistan
Zubair Ahmed Kalhoro Institute of Mathematics and Computer Science, University of Sindh,Jamshoro, Sindh-,Pakistan
Abdul Wasim Shaikh Institute of Mathematics and Computer Science, University of Sindh,Jamshoro, Sindh-,Pakistan
Muhammad Saleem Chandio Institute of Mathematics and Computer Science, University of Sindh,Jamshoro, Sindh-,Pakistan
Sanaullah Dehraj Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology,67480, Nawabshah, Sindh-,Pakistan
Abstract
It's a big challenge for researchers to locate the root of nonlinear equations with minimum cost, lot of methods are already exist in literature to find root but their cost are very high In this regard we introduce a two-step fourth order method by using weight function. And proposed method is optimal and derivative free for solution of nonlinear algebraic and transcendental and application problems. MATLAB, Mathematica and Maple software are used to solve the convergence and numerical problems of proposed and their counterpart methods.
Publication Details
Page(s) 137-146
DOI DOI not available
Published Journal: VFAST Transactions on Mathematics, Volume: 10, Issue: 2, Year: 2022

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Keywords
nonlinear equation, Convergence analysis, 35K05, 35L05, 35J10, Accuracy Subject Classification, Weight function, 35J05, Efficiency index
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