کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629380 | 1340579 | 2012 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D](/preview/png/4629380.png)
چکیده انگلیسی
The space and time fractional Bloch-Torrey equation (ST-FBTE) has been used to study anomalous diffusion in the human brain. Numerical methods for solving ST-FBTE in three-dimensions are computationally demanding. In this paper, we propose a computationally effective fractional alternating direction method (FADM) to overcome this problem. We consider ST-FBTE on a finite domain where the time and space derivatives are replaced by the Caputo-Djrbashian and the sequential Riesz fractional derivatives, respectively. The stability and convergence properties of the FADM are discussed. Finally, some numerical results for ST-FBTE are given to confirm our theoretical findings.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 8, 15 December 2012, Pages 4082-4095
Journal: Applied Mathematics and Computation - Volume 219, Issue 8, 15 December 2012, Pages 4082-4095
نویسندگان
Q. Yu, F. Liu, I. Turner, K. Burrage,