A Simple Algorithm to Solve Non-linear Equations with Multiple Roots of Two Variables Appearing in Autocatalytic Reaction in Open Systems.
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- SAGAN Amih
- National Institute of Materials and Chemical Research 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
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- NAGASHIMA Umpei
- National Institute of Materials and Chemical Research 1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
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- MORI Yoshihito
- Department of Chemistry, Faculty of Science, Ochanomizu University 2-1-1 Otsuka, Bunkyo-ku, Tokyo 112-8610, Japan
Bibliographic Information
- Other Title
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- 自己触媒反応に現れる多根を持つ2変数の非線形方程式の簡便な数値解法
- ジコ ショクバイ ハンノウ ニ アラワレル タコン オ モツ 2 ヘンスウ ノ ヒセンケイ ホウテイシキ ノ カンベン ナ スウチカイホウ
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Abstract
We propose a simple computational algorithm to solve non-linear equations with multiple roots of two variables: F(x,y)=0. The algorithm is effective only where the relationship between two variables x and y is monotonous and continuous (for example, see Fig.s 1 and 3). The algorithm also gives a guideline of automatic adjustment of the notch width in the Euler method. The efficiency of the algorithm was demonstrated by analyzing two typical examples and an autocatalytic reaction in open systems.
Journal
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- Journal of Chemical Software
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Journal of Chemical Software 5 (2), 55-64, 1999
SOCIETY OF COMPUTER CHEMISTRY, JAPAN
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Details
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- CRID
- 1390001204383271936
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- NII Article ID
- 10004709128
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- NII Book ID
- AN10470405
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- ISSN
- 18838359
- 09180761
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- NDL BIB ID
- 4758338
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed