Work

Applications of an Efficient Iterative Scheme for Finding Zeros of Nonlinear Equations and Its Basins of Attraction

Year: 2023

Type: article

Abstract: The recent research focuses on building several iterative methods over existing or classical numerical methods, such as Newton’s Method (NM), to solve nonlinear equations to attain higher-order convergence with an improving efficiency index over the produced models. To solve nonlinear equations, a three-step iterative strategy is suggested in this study. Additionally, we used our method in real-time applications for the azeotropic point of a binary solution, beam designing models, chemical engineering, fractional conversion, parachutist’s problem, Planck’s constant, classical projectile problem, and vertical stress. The numerical results demonstrate our method’s superior efficiency to some other existing methods of the same order. To illustrate the dynamic behaviour of basins of attraction in the complex plane, we also studied them.

Source: Communications in Mathematics and Applications

DOI: 10.26713/cma.v14i1.2113

Authors: Navya Kakarlapudi, Mani Sandeep Kumar Mylapalli, Ramadevi Sri, Soujanya Marapaga

Institutions: GITAM University, Chaitanya

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Gandhi Institute of Technology and Management

OpenAlex ID: W4384948441

FWCI: 0.573

Cites: 8

Cited by: 3

Related to: 10