Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction

Yuro Adachi; Novrianti; Okihiro Sawada

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Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction

机译：Belousov-Zhabotinsky反应的阳性保存数值方法

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摘要

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.

机译：建立了与Beloupov-Zhabotinsky反应相关的常微分方程系统的正解。关键的想法是使用新的逐步逼近的解决方案，确保其积极性。为了获得数值解决方案的阳性和不变区域，该系统被离散化为显式形式的差异方程，采用具有线性稳定条件的操作员分割方法。给出了解决替代解决方案的算法。

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来源
《应用数学（英文）》 |2020年第010期|P.943-950|共8页
作者
Yuro Adachi; Novrianti; Okihiro Sawada;
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作者单位

Applied Physics Course Faculty of Engineering Gifu University Gifu Japan;

Applied Physics Course Faculty of Engineering Gifu University Gifu JapanFaculty of Engineering Kitami Institute of Technology Kitami Japan;

Applied Physics Course Faculty of Engineering Gifu University Gifu Japan;

Faculty of Engineering Kitami Institute of Technology Kitami Japan;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Positive Solution; Difference Equation; Belousov-Zhabotinsky Reaction; Invariant Region; Maximum Principle;

机译：正解;差异方程;Belousov-Zhabotinsky反应;不变地区;最大原则;

Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction

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