Study of Dynamical Behavior and Stability of Iterative Methods for Nonlinear Equation with Applications in Engineering
In this article, we first construct a family of optimal 2-step iterative methods for finding a single root of the nonlinear equation using the procedure of weight function. We then extend these methods for determining all roots simultaneously. Convergence analysis is presented for both cases to show...
Main Authors: | Naila Rafiq, Saima Akram, Nazir Ahmad Mir, Mudassir Shams |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2020-01-01
|
Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2020/3524324 |
Similar Items
-
On Dynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering
by: Mudassir Shams, et al.
Published: (2020-01-01) -
Inverse Numerical Iterative Technique for Finding all Roots of Nonlinear Equations with Engineering Applications
by: Mudassir Shams, et al.
Published: (2021-01-01) -
Derivative free iterative simultaneous method for finding distinct roots of polynomial equation
by: Nazir Ahmad Mir, et al.
Published: (2020-06-01) -
Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization
by: Ahmed Elmoasry, et al.
Published: (2021-01-01) -
A New Second-Order Iteration Method for Solving Nonlinear Equations
by: Shin Min Kang, et al.
Published: (2013-01-01)