Some Improvments of The Cordero-Torregrosa Method for The Solution of Nonlinear Equations

In this paper, two adaptive methods with memory are improved based on Cordero- Torregrosa method. The technique of adaptive method increases the efficiency index as high as possible. The new derivative free methods have possessed the convergence order ۷.۴۶۳۱۵ and ۷.۹۹۳۱۵, and they only use the information from the last two iterations. Finally, we provide convergence analysis and numerical examples to illustrate the proposed methods.

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معادله غیر خطی ، روشهای تکراری ، شاخص کارآیی ، مرتبه همگرایی