کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628042 1631822 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A class of optimal eighth-order derivative-free methods for solving the Danchick–Gauss problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A class of optimal eighth-order derivative-free methods for solving the Danchick–Gauss problem
چکیده انگلیسی

A derivative-free optimal eighth-order family of iterative methods for solving nonlinear equations is constructed using weight functions approach with divided first order differences. Its performance, along with several other derivative-free methods, is studied on the specific problem of Danchick’s reformulation of Gauss’ method of preliminary orbit determination. Numerical experiments show that such derivative-free, high-order methods offer significant advantages over both, the classical and Danchick’s Newton approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 232, 1 April 2014, Pages 237–246
نویسندگان
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