کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639478 1632051 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Presentation, error analysis and numerical experiments on a group of 1-step-ahead numerical differentiation formulas
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Presentation, error analysis and numerical experiments on a group of 1-step-ahead numerical differentiation formulas
چکیده انگلیسی

In order to achieve higher computational precision in approximating the first-order derivative of the target point, the 1-step-ahead numerical differentiation formulas are presented. These formulas greatly remedy some intrinsic weaknesses of the backward numerical differentiation formulas, and overcome the limitation of the central numerical differentiation formulas. In addition, a group of formulas are proposed to obtain the optimal step length. Moreover, the error analysis of the 1-step-ahead numerical differentiation formulas and the backward numerical differentiation formulas is further investigated. Numerical studies show that the proposed optimal step-length formulas are effective, and the performance of the 1-step-ahead numerical differentiation formulas is much better than that of the backward numerical differentiation formulas in the first-order derivative approximation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 239, 1 February 2013, Pages 406–414
نویسندگان
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