On Computer Implementation for Comparison of Inverse Numerical Schemes for Non-Linear Equations

作     者：Mudassir Shams Naila Rafiq Nazir Ahmad Mir Babar Ahmad Saqib Abbasi Mutee-Ur-Rehman Kayani 

作者机构：Department of Mathematics and StatisticsRiphah International UniversityI-14Islamabad44000Pakistan Department of MathematicsNUMLIslamabadPakistan Department of MathematicsComsats UniversityIslamabad44000Pakistan 

出 版 物：《Computer Systems Science & Engineering》 (计算机系统科学与工程（英文）)

年 卷 期：2021年第36卷第3期

页      面：493-507页

核心收录：

学科分类：0810[工学-信息与通信工程] 0808[工学-电气工程] 07[理学] 0802[工学-机械工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：Non-linear equation inverse iterative method simultaneous method basins of attraction lower bound of convergence 

摘      要：In this research article,we interrogate two new modifications in inverse Weierstrass iterative method for estimating all roots of non-linear equation *** modifications enables us to accelerate the convergence order of inverse Weierstrass method from 2 to *** analysis proves that the orders of convergence of the two newly constructed inverse methods are *** computer algebra system Mathematica,we find the lower bound of the convergence order and verify it *** planes of the inverse simultaneous methods and classical iterative methods are generated using MATLAB(R2011b),to present the global convergence properties of inverse simultaneous iterative methods as compared to classical *** non-linear models are taken from Physics,Chemistry and engineering to demonstrate the performance and efficiency of the newly constructed *** CPU time,and residual graphs of the methods are provided to present the dominance behavior of our newly constructed methods as compared to existing inverse and classical simultaneous iterative methods in the literature.