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

	Interpolatory four-parametric adaptive method with memory for solving nonlinear equations
AUT Journal of Mathematics and Computing
دوره 5، شماره 3، 2024، صفحه 275-287 اصل مقاله (457.11 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2023.22090.1132
نویسنده
Vali Torkashvand^*
Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran
چکیده
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.
کلیدواژه‌ها
Nonlinear equations؛ Adaptive method with memory؛ RRR-order convergence؛ Self accelerating parameter
مراجع

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