Interpolatory four-parametric adaptive method with memory for solving nonlinear equations
| Autor: | Vali Torkashvand |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | AUT Journal of Mathematics and Computing, Vol 6, Iss 1, Pp 81-93 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2783-2449 2783-2287 |
| DOI: | 10.22060/ajmc.2023.22090.1132 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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