An optimal family of methods for obtaining the zero of nonlinear equation
محل انتشار: فصلنامه ریاضی و علوم محاسباتی، دوره: 3، شماره: 1
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 113
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شناسه ملی سند علمی:
JR_JMCS-3-1_003
تاریخ نمایه سازی: 30 بهمن 1400
چکیده مقاله:
This manuscript presents a developed fourth-order iterative familyof methods for determining the zero of nonlinear equations that isoptimal in line with Kung-Traub conjecture. The family of methodswas constructed by using weight function technique. One iterationcycle of any concrete member of the family of methods requires theevaluation of three functions. Consequently, the efficiency index of anyconcrete member of the family is ۱.۵۸۷۳. The method convergenceanalysis was carried out via the Taylor series technique and numericalexamples are provided to illustrate its performance as compared withits contemporary existing methods for obtaining the zero of nonlinearequation.
کلیدواژه ها:
نویسندگان
Oghovese Ogbereyivwe
Department of mathematics and statistics, Faculty of science, Delta state University of science and technology, ozoro, Delta state, Nigeria.
John Emunefe
Department of General studies, Petroleum Training Institute, Effurun, Delta State, Nigeria.