کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6930636 | 867536 | 2016 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
ترجمه فارسی عنوان
طرح های اختلاف سریع برای حل معادلات زیر دیفوزیون زمانبندی با ابعاد بزرگ
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
In this paper, we focus on fast solvers with linearithmic complexity in space for high-dimensional time-fractional subdiffusion equations. Firstly, we present two alternating direction implicit (ADI) finite difference schemes for the two-dimensional time-fractional subdiffusion equation that are convergent of order (1+β) in time, where β (0<β<1) is the fractional order. Secondly, we develop two finite difference schemes which admit fast solvers without applying ADI techniques for two-dimensional time-fractional subdiffusion. Lastly, we extend these fast solvers to three-dimensional time-fractional subdiffusion. All the non-ADI difference methods are unconditionally stable and convergent with order two in time and order two or four in space. We also present several numerical experiments to verify the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 307, 15 February 2016, Pages 15-33
Journal: Journal of Computational Physics - Volume 307, 15 February 2016, Pages 15-33
نویسندگان
Fanhai Zeng, Zhongqiang Zhang, George Em Karniadakis,