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Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction
https://kitami-it.repo.nii.ac.jp/records/2000211
https://kitami-it.repo.nii.ac.jp/records/2000211e7cf66b6-d252-4be2-b5a0-c4a12b20727c
名前 / ファイル | ライセンス | アクション |
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am_2020093015165783.pdf (310 KB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-05-20 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Positive Solution | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題URI | Difference Equation | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Belousov-Zhabotinsky Reaction | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Invariant Region | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Maximum Principle | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
著者(英) | ||||||
姓名 | Yuro Adachi | |||||
言語 | en | |||||
姓名 | Novrianti | |||||
言語 | en | |||||
姓名 | Okihiro Sawada | |||||
言語 | en | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The existence of positive solutions to the system of ordinary differential equations related to the Belousov-Zhabotinsky reaction is established. The key idea is to use a new successive approximation of solutions, ensuring its positivity. To obtain the positivity and invariant region for numerical solutions, the system is discretized as difference equations of explicit form, employing operator splitting methods with linear stability conditions. Algorithm to solve the alternate solution is given. |
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言語 | en | |||||
書誌情報 |
en : Applied Mathematics 巻 11, p. 943-950, 発行日 2020-10 |
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ISSN | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 2152-7393 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.4236/am.2020.1110061 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | Copyright (c)2020 by author(s) and Scientifc Research Publishing Inc. This work is licensed under the Creative Com- mons Attribution International License (CC BY 4.0). | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Scientifc Research Publishing | |||||
著者版フラグ | ||||||
言語 | en | |||||
値 | publisher | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |