کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646074 | 1342080 | 2008 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical treatment of fractional heat equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper is devoted to the numerical treatment of some fractional extensions of the temperature field problem in oil strata. Based on the Grünwald–Letnikov's definition of a fractional derivative, finite difference schemes for the approximation of the solution are discussed. By means of them the fractional heat equation is solved. The main properties of the explicit and implicit numerical methods developed, related to stability, convergence and error behaviour are also studied. Stability conditions as extensions of the CLF condition are derived and numerical experiments are provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 58, Issue 8, August 2008, Pages 1212-1223
Journal: Applied Numerical Mathematics - Volume 58, Issue 8, August 2008, Pages 1212-1223