Solving the Caputo Fractional Reaction-Diffusion Equation on GPU

被引：9

作者：

Liu, Jie ^{[1
]}

Gong, Chunye ^{[1
,2
,3
]}

Bao, Weimin ^{[2
,3
]}

Tang, Guojian ^{[3
]}

Jiang, Yuewen ^{[4
]}

机构：

[1] Natl Univ Def Technol, Sch Comp Sci, Changsha 410073, Hunan, Peoples R China

[2] Sci & Technol Space Phys Lab, Beijing 100076, Peoples R China

[3] Natl Univ Def Technol, Coll Aerosp Sci & Engn, Changsha 410073, Hunan, Peoples R China

[4] Univ Oxford, Dept Engn Sci, Oxford OX2 0ES, England

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷

基金：

中国国家自然科学基金;

关键词：

PARTICLE-TRANSPORT; PARALLEL ALGORITHM; STABILITY;

D O I：

10.1155/2014/820162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 vectormultiplication. Themost 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.

引用

页数：7

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