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Efficient family of three-step with-memory methods and their dynamics.. | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 مهر 1402 اصل مقاله (1.43 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2023.55761.2324 | ||
نویسندگان | ||
Vali Torkashvand* 1، 2؛ Manochehr Kazemi3؛ Masoud Azimi2 | ||
1Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Shahr-e-Qods, Iran. | ||
2Department of Mathematics , Farhangian University , Tehran, Iran. | ||
3Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran. | ||
چکیده | ||
In this work, we have proposed a general manner to extend some twoparametric with-memory methods to obtain simple roots of nonlinear equations. Novel improved methods are two-step without memory and have two self-accelerator parameters that do not have additional evaluation. The methods have been compared with the nearest competitions in various numerical examples. Anyway, the theoretical order of convergence is verified. The basins of attraction of the suggested methods are presented and corresponded to explain their interpretation. | ||
کلیدواژهها | ||
With-memory method؛ Basin of attraction؛ Accelerator parameter؛ R-order convergence؛ Nonlinear equations | ||
آمار تعداد مشاهده مقاله: 32 تعداد دریافت فایل اصل مقاله: 58 |