NDLI: A Parallel Algorithm for the Two-Dimensional Time Fractional Diffusion Equation with Implicit Difference Method

Content Provider	PubMed Central
Author	Gong, Chunye Bao, Weimin Tang, Guojian Jiang, Yuewen Liu, Jie
Copyright Year	2014
Abstract	It is very time consuming to solve fractional differential equations. The computational complexity of two-dimensional fractional differential equation (2D-TFDE) with iterative implicit finite difference method is O(M x M y N 2). In this paper, we present a parallel algorithm for 2D-TFDE and give an in-depth discussion about this algorithm. A task distribution model and data layout with virtual boundary are designed for this parallel algorithm. The experimental results show that the parallel algorithm compares well with the exact solution. The parallel algorithm on single Intel Xeon X5540 CPU runs 3.16–4.17 times faster than the serial algorithm on single CPU core. The parallel efficiency of 81 processes is up to 88.24% compared with 9 processes on a distributed memory cluster system. We do think that the parallel computing technology will become a very basic method for the computational intensive fractional applications in the near future.
Related Links	http://dx.doi.org/10.1155/2014/219580
Starting Page	219580
File Format	PDF
ISSN	1537744X
e-ISSN	1537744X
Journal	The Scientific World Journal
Volume Number	2014
Language	English
Publisher	Hindawi Publishing Corporation
Publisher Date	2014-03-12
Access Restriction	Open
Rights Holder	Hindawi Publishing Corporation
Subject Keyword	Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Biochemistry, Genetics and Molecular Biology Environmental Science Medicine

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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