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Formulation of SPH for discretizing the fractional differentiation
http://hdl.handle.net/10069/34018
http://hdl.handle.net/10069/3401874a60ddf-1517-4703-9be3-109ae86a1e2f
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
AIPCP1558_2329.pdf (280.4 kB)
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| Item type | 会議発表論文 / Conference Paper(1) | |||||||||||
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| 公開日 | 2013-12-16 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Formulation of SPH for discretizing the fractional differentiation | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Accuracy | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Diffusion problem | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Finite Difference Method (FDM) | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Finite Element Method (FEM) | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Fractional differentiation | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Smoothed particle hydrodynamics (SPH) | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_5794 | |||||||||||
| 資源タイプ | conference paper | |||||||||||
| 著者 |
Kisu, Hiroyuki
× Kisu, Hiroyuki
× Rong, Guiming
× Kondo, Yoshihiro
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| 抄録 | ||||||||||||
| 内容記述タイプ | Abstract | |||||||||||
| 内容記述 | This study is a basic research for introducing the SPH as a solution to the fractional differential equation, because the SPH method has the flexibility in the boundary representation. To begin with, the discretized form for the integration is presented in addition to the conventional one for differentiation by SPH, because both the integration and differentiation are needed in the fractional differentiation. Then the formulation for the fractional differentiation by SPH is proposed by combining these two formula. The discretization formulation is applied to several concrete functions and the accuracy of their derivatives and primitive functions is examined numerically. These results are compared with those from FDM and FEM. It is found that the presented formulation has the sufficient accuracy to calculate the fractional differential equation. | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013; Rhodes; Greece; 21 September 2013 through 27 September 2013 | |||||||||||
| 書誌情報 |
AIP Conference Proceedings 巻 1558, p. 2329-2332, 発行日 2013 |
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| ISSN | ||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 0094243X | |||||||||||
| DOI | ||||||||||||
| 関連タイプ | isIdenticalTo | |||||||||||
| 識別子タイプ | DOI | |||||||||||
| 関連識別子 | 10.1063/1.4826007 | |||||||||||
| 権利 | ||||||||||||
| 権利情報 | © 2013 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. | |||||||||||
| 著者版フラグ | ||||||||||||
| 出版タイプ | VoR | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | American Institute of Physics Inc. | |||||||||||
| 引用 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | AIP Conference Proceedings, 1558, pp.2329-2332; 2013 | |||||||||||
