Open AccessOptimization by parameters in the iterative methods for solving non-linear equations
Author(s) -
Т. Жанлав,
Khuder Otgondorj
Publication year - 2021
Publication title -
šinžlèh uhaany akademijn mèdèè/proceedings of the mongolian academy of sciences
Language(s) - English
Resource type - Journals
eISSN - 2312-2994
pISSN - 2310-4716
DOI - 10.5564/pmas.v61i02.1756
Subject(s) - convergence (economics) , nonlinear system , mathematics , variety (cybernetics) , mathematical optimization , iterative method , point (geometry) , order (exchange) , local convergence , computer science , physics , geometry , finance , quantum mechanics , economics , economic growth , statistics
In this paper, we used the necessary optimality condition for parameters in a two-point iterations for solving nonlinear equations. Optimal values of these parameters fully coincide with those obtained in [6] and allow us to increase the convergence order of these iterative methods. Numerical experiments and the comparison of existing robust methods are included to confirm the theoretical results and high computational efficiency. In particular, we considered a variety of real life problems from different disciplines, e.g., Kepler’s equation of motion, Planck’s radiation law problem, in order to check the applicability and effectiveness of our proposed methods.