Interpolatory four-parametric adaptive method with memory for solving nonlinear equations.

Autor: Torkashvand, Vali
Předmět:
Zdroj: AUT Journal of Mathematics & Computing; Jul2024, Vol. 5 Issue 3, p275-287, 13p
Abstrakt: The adaptive technique enables us to achieve the highest efficiency index theoretically and practically. The idea of introducing an adaptive self-accelerator (via all the old information for Steffensen-type methods) is new and efficient to obtain the highest efficiency index. In this work, we have used four self-accelerating parameters and have increased the order of convergence from 8 to 16, i. e. any new function evaluations improve the convergence order up to 100%. The numerical results are compared without and with memory methods. It confirms that the proposed methods have more efficiency index. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index