کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
499854 | 863063 | 2006 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An adaptation of the Gear scheme for fractional derivatives
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An adaptation of the Gear scheme for fractional derivatives An adaptation of the Gear scheme for fractional derivatives](/preview/png/499854.png)
چکیده انگلیسی
The Gear scheme is a three-level step algorithm, backward in time and second-order accurate for the approximation of classical time derivatives. In this contribution, the formal power of this scheme is proposed to approximate fractional derivative operators in the context of finite difference methods. Some numerical examples are presented and analysed in order to show the effectiveness of the present Gear scheme at the power α (Gα-scheme) when compared to the classical Grünwald–Letnikov approximation. In particular, for a fractional damped oscillator problem, the combined Gα-Newmark scheme is shown to be second-order accurate.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 195, Issues 44–47, 15 September 2006, Pages 6073–6085
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 195, Issues 44–47, 15 September 2006, Pages 6073–6085
نویسندگان
A.C. Galucio, J.-F. Deü, S. Mengué, F. Dubois,