Fourth-order two-step iterative methods for determining multiple zeros of non-linear equations

2007 ◽  
Vol 84 (7) ◽  
pp. 971-977 ◽  
Author(s):  
N. A. Mir ◽  
Naila Rafiq
Keyword(s):  
Iterative Methods ◽  
Fourth Order ◽  
Linear Equations ◽  
Multiple Zeros ◽  
Non Linear ◽  
Non Linear Equations

Comparative Study of Iterative Methods for Solving Non-Linear Equations

2021 ◽  
Vol 23 (07) ◽  
pp. 858-866
Author(s):  
Gauri Thakur ◽  
◽  
J.K. Saini ◽  
Keyword(s):  
Numerical Analysis ◽  
Iterative Methods ◽  
Linear Equations ◽  
Bisection Method ◽  
Practical Applications ◽  
Non Linear ◽  
False Position ◽  
Newton Raphson ◽  
Raphson Method ◽  
Non Linear Equations

In numerical analysis, methods for finding roots play a pivotal role in the field of many real and practical applications. The efficiency of numerical methods depends upon the convergence rate (how fast the particular method converges). The objective of this study is to compare the Bisection method, Newton-Raphson method, and False Position Method with their limitations and also analyze them to know which of them is more preferred. Limitations of these methods have allowed presenting the latest research in the area of iterative processes for solving non-linear equations. This paper analyzes the field of iterative methods which are developed in recent years with their future scope.

The Arithmetic of Field Equations

1953 ◽  
Vol 4 (2) ◽  
pp. 205-230 ◽  
Author(s):  
A. Thom
Keyword(s):  
Fourth Order ◽  
Linear Equations ◽  
Field Equations ◽  
Solution Of Equations ◽  
Non Linear ◽  
Propagation Of Errors ◽  
Fourth Order Equations ◽  
Non Linear Equations ◽  
Poisson Type

SummaryThe paper describes in detail an older method than Relaxation of approximating to the solution of equations of the Laplace and Poisson type. The corresponding fourth order equations are discussed briefly, and a method of dealing with certain non-linear equations is indicated. A description is also given of the propagation of errors in the fields due to various causes.

A family of fourth-order methods for solving non-linear equations

2007 ◽  
Vol 188 (1) ◽  
pp. 1031-1036 ◽  
Author(s):  
Jisheng Kou ◽  
Yitian Li ◽  
Xiuhua Wang
Keyword(s):  
Fourth Order ◽  
Linear Equations ◽  
Non Linear ◽  
Non Linear Equations
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