Solving the Caputo Fractional Reaction-Diffusion Equation on GPU
Joint Authors
Liu, Jie
Tang, Guojian
Bao, Weimin
Gong, Chunye
Jiang, Yuewen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We present a parallel GPU solution of the Caputo fractional reaction-diffusion equation in one spatial dimension with explicit finite difference approximation.
The parallel solution, which is implemented with CUDA programming model, consists of three procedures: preprocessing, parallel solver, and postprocessing.
The parallel solver involves the parallel tridiagonal matrix vector multiplication, vector-vector addition, and constant vector multiplication.
The most time consuming loop of vector-vector addition and constant vector multiplication is optimized and impressive performance improvement is got.
The experimental results show that the GPU solution compares well with the exact solution.
The optimized GPU solution on NVIDIA Quadro FX 5800 is 2.26 times faster than the optimized parallel CPU solution on multicore Intel Xeon E5540 CPU.
American Psychological Association (APA)
Liu, Jie& Gong, Chunye& Bao, Weimin& Tang, Guojian& Jiang, Yuewen. 2014. Solving the Caputo Fractional Reaction-Diffusion Equation on GPU. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-500723
Modern Language Association (MLA)
Liu, Jie…[et al.]. Solving the Caputo Fractional Reaction-Diffusion Equation on GPU. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-500723
American Medical Association (AMA)
Liu, Jie& Gong, Chunye& Bao, Weimin& Tang, Guojian& Jiang, Yuewen. Solving the Caputo Fractional Reaction-Diffusion Equation on GPU. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-500723
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500723
