Comparison of Halley-Chebyshev Method with Several Nonlinear equation Solving Methods Methods
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2019, Vol 16, Issue 0
Abstract
In this paper, we present one of the most important numerical analysis problems that we find in the roots of the nonlinear equation. In numerical analysis and numerical computing, there are many methods that we can approximate the roots of this equation. We present here several different methods, such as Halley's method, Chebyshev's method, Newton's method, and other new methods presented in papers and journals, and compare them. In the end, we get a good and attractive result.
Authors and Affiliations
Hamideh Eskandari
Unbounded solution of characteristic singular integral equation using differential transform method
In this paper, The differential transform method is extended to solve the Cauchy type singular integral equation of the first kind. Unbounded solution of the Cauchy type singular Integral equation is discussed. Num...
Linear and Weakly Non-Linear Analyses of Gravity Modulation and Electric Field on the Onset of Rayleigh-Bénard Convection in a Micropolar Fluid
The effect of time periodic body force (or g-jitter or gravity modulation) on the onset of Rayleigh-B©nard electro-convention in a micropolar fluid layer is investigated by making linear and non-linear stability analysis...
Modelling the Additive Functional Equations through RSM Matrices
This paper suggests one possible method to model additive type of functional equations using eigenvalues and eigenvectors of matrices with suitable numerical examples. The authors have defined a new type of Row Sum Matri...
ON INTUITIONISTIC FUZZY IDEALS BITOPOLOGICAL SPACES
In this paper we introduce the notion of intuitionistic fuzzy ideals in intuitionistic fuzzy bitopological spaces and we prove som...
Using Particle Swarm Optimization to Determine the Optimal Strata Boundaries
Stratified random sampling is a commonly used sampling methodology especially for heterogeneous populations with outliers. Stratified sampling is preferably employed due to its capability of improving statistical precisi...