On an efficient family with memory with order of convrgence for solving nonlinear equations

سال انتشار: 1397
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 452

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شناسه ملی سند علمی:

IDS03_069

تاریخ نمایه سازی: 31 اردیبهشت 1398

چکیده مقاله:

in this paper, we present an i-point, i=1.2.3.4 with memory methods for solving nonlinear equations is proposed. The mehtodology is based on zheng et al.family methods 7and devoted to the improvement of the exist-ing derivative free methods without memory proposed by zheng et al. to achieve this goal a parameter is introduced wthich is calculater with the help of newtons insterpolatory polynomial. the self-accelerating parameter has the property of simple structure and easy calulation, which do not increase the been increased from 2.4.8 and 16 to 3.6.12 and 24 , respectively without any extra evaluation. another advantage of the new methods is this fact that they remove the severe condition ƒ(z) #0 in a neighborhood of the required root imposed on newtons method. numerival ex-amples and the comparison with existing mehods are included to confirm theoretical results and high compu tational efficeincy.

کلیدواژه ها:

nonlinear equations ، mehtods with memory acceleration of convergence ، efficiency index

نویسندگان

vali torkashvand

department of applied mathmatics, hamedan branch, islamic azad university, hameda iran

taher lotfi

department of applied mathmatics, hamedan branch, islamic azad university, hameda iran

mohammad ali fariborzi araghi

Department of Mathematics, Central Tehran Branch, Islamic Azad University,Tehran, Iran.