A domain decomposition method for time fractional reaction-diffusion equation.
The computational complexity of one-dimensional time fractional reaction-diffusion equation is O(N²M) compared with O(NM) for classical integer reaction-diffusion equation. Parallel computing is used to overcome this challenge. Domain decomposition method (DDM) embodies large potential for paralleli...
| Publicado en: | Scientific World Journal pp. 681707 - 681708 |
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| Autores principales: | , , , , |
| Formato: | research Journal Article |
| Publicado: |
Wiley-Blackwell
2014
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=103820618&site=ehost-live header: @attributes: shortDbName: ccm uiTerm: 103820618 longDbName: CINAHL Complete uiTag: AN controlInfo: bkinfo: dissinfo: jinfo: jid: 1537744X 1BX5 jtl: Scientific World Journal issn: 1537744X maglogo: N pubinfo: dt: 2014 pid: 480 pub: Wiley-Blackwell place: Malden, Massachusetts artinfo: ui: 103820618 NLM24778594 2012565566 10.1155/2014/681707 NLM24778594 PMC3977434 103820618 ppf: 681707 ppct: 1 formats: tig: atl: A domain decomposition method for time fractional reaction-diffusion equation. aug: au: Gong, Chunye Bao, Weimin Tang, Guojian Jiang, Yuewen Liu, Jie affil: College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China ; Science and Technology on Space Physics Laboratory, Beijing 100076, China ; School of Computer Science, National University of Defense Technology, Changsha 410073, China. sug: subj: Algorithms Mathematics Models, Theoretical Reproducibility of Results ab: The computational complexity of one-dimensional time fractional reaction-diffusion equation is O(N²M) compared with O(NM) for classical integer reaction-diffusion equation. Parallel computing is used to overcome this challenge. Domain decomposition method (DDM) embodies large potential for parallelization of the numerical solution for fractional equations and serves as a basis for distributed, parallel computations. A domain decomposition algorithm for time fractional reaction-diffusion equation with implicit finite difference method is proposed. The domain decomposition algorithm keeps the same parallelism but needs much fewer iterations, compared with Jacobi iteration in each time step. Numerical experiments are used to verify the efficiency of the obtained algorithm. pubtype: Academic Journal doctype: research Journal Article ougenre: Article language: English refInfo: holdings: @attributes: islocal: N |
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