A new three step derivative free method using weight function for numerical solution of non-linear equations arises in application problems | [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:

In this paper a three-step numerical method, using weight function, has been derived for finding the root of non-linear equations. The proposed method possesses the accuracy of order eight with four functional evaluations. The efficiency index of the derived scheme is 1.682. Numerical examples, application problems are used to demonstrate the performance of the presented schemes and compare them to other available methods in the literature of the same order. Matlab, Mathematica 2021 & Maple 2021 software were used for numerical results.

Page(s): 164-174

DOI: DOI not available

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

Keywords:

Convergence analysis , 35K05 , 35L05 , 35J10 , Nonlinear Equation , 35J05 , Efficiency index , Derivative free , weight function Subject Classification

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