A two-point eighth-order method based on the weight function for solving nonlinear equations

Vali Torkashvand

doi:10.33993/jnaat501-1230

Authors

Vali Torkashvand Young Researchers and Elite Club, Shahr-e-Qods Branch, Islamic Azad University, Islamic Republic of Iran

DOI:

https://doi.org/10.33993/jnaat501-1230

Keywords:

Method with memory, Accelerator parameter, Weight function, Newton’s interpolatory polynomial, Order of convergence, nonlinear equations in R, iterative method

Abstract views: 252

Abstract

In this work, we have designed a family of with-memory methods with eighth-order convergence. We have used the weight function technique. The proposed methods have three parameters. Three self-accelerating parameters are calculated in each iterative step employing only information from the current and all previous iteration. Numerical experiments are carried out to demonstrate the convergence and the e?ciency of our iterative method.

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References

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