کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709178 1012844 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Two new classes of optimal Jarratt-type fourth-order methods
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Two new classes of optimal Jarratt-type fourth-order methods
چکیده انگلیسی

In this paper, we investigate the construction of some two-step without memory iterative classes of methods for finding simple roots of nonlinear scalar equations. The classes are built through the approach of weight functions and these obtained classes reach the optimal order four using one function and two first derivative evaluations per full cycle. This shows that our classes can be considered as Jarratt-type schemes. The accuracy of the classes is tested on a number of numerical examples. And eventually, it is observed that our contributions take less number of iterations than the compared existing methods of the same type to find more accurate approximate solutions of the nonlinear equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 25, Issue 5, May 2012, Pages 847–853
نویسندگان
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