Structure of an Adaptive with Memory Method with Efficiency Index 2

International Journal of Mathematical Modelling & Computations

مقاله 1، دوره 9، 4 (Fall) - شماره پیاپی 36، اسفند 2019، صفحه 239-252   

نوع مقاله: Full Length Article

نویسنده

Vali Torkashvand^*

Young Researchers and Elite Club, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.

چکیده

The current research develops derivative-free family with memory methods with 100% improvement in the order of convergence. They have three parameters. The parameters are approximated and increase the convergence order from 4 to 6, 7, 7.5 and 8, respectively. Additionally, the new self-accelerating parameters are constructed by a new way. They have the properties of simple structures and they are calculated easily. The parameters do not increase the computational cost of the iterative methods. Numerical examples of the new schemes are given to support the theoretical results.

کلیدواژه‌ها

Adaptive method with memory؛ Accelerator parameter؛ Newton's interpolatory polynomial؛ R-order convergence؛ Nonlinear equation؛ Simple zeros