کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900828 | 1631723 | 2018 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Accelerating the convergence speed of iterative methods for solving nonlinear systems
ترجمه فارسی عنوان
سرعت بخشیدن به سرعت همگرا از روش های تکراری برای حل سیستم های غیر خطی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
In this paper, for solving systems of nonlinear equations, we develop a family of two-step third order methods and introduce a technique by which the order of convergence of many iterative methods can be improved. Given an iterative method of order pâ¯â¥â¯2 which uses the extended Newton iteration as a predictor, a new method of order p+2 is constructed by introducing only one additional evaluation of the function. In addition, for an iterative method of order pâ¯â¥â¯3 using the Newton iteration as a predictor, a new method of order p+3 can be extended. Applying this procedure, we develop some new efficient methods with higher order of convergence. For comparing these new methods with the ones from which they have been derived, we discuss the computational efficiency in detail. Several numerical examples are given to justify the theoretical results by the asymptotic behaviors of the considered methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 333, 15 September 2018, Pages 8-19
Journal: Applied Mathematics and Computation - Volume 333, 15 September 2018, Pages 8-19
نویسندگان
Xiao-Yong Xiao, Hong-Wei Yin,