A novel two point optimal derivative free method for numerical solution of nonlinear algebraic, transcendental Equations and application problems using weight function | [VFAST Transactions on Mathematics • 2022]

Author(s):

1. Sanaullah Jamali: Institute of Mathematics and Computer Science, University of Sindh,Jamshoro, Sindh-,Pakistan

2. Zubair Ahmed Kalhoro: Institute of Mathematics and Computer Science, University of Sindh,Jamshoro, Sindh-,Pakistan

3. Abdul Wasim Shaikh: Institute of Mathematics and Computer Science, University of Sindh,Jamshoro, Sindh-,Pakistan

4. Muhammad Saleem Chandio: Institute of Mathematics and Computer Science, University of Sindh,Jamshoro, Sindh-,Pakistan

5. 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.

Page(s): 137-146

DOI: DOI not available

Published: Journal: VFAST Transactions on Mathematics, Volume: 10, Issue: 2, Year: 2022

Keywords:

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

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