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Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction
open access
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).
Positive Solution
Belousov-Zhabotinsky Reaction
Invariant Region
Maximum Principle
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.
Scientifc Research Publishing
2020-10
eng
journal article
VoR
https://kitami-it.repo.nii.ac.jp/records/2000211
https://doi.org/10.4236/am.2020.1110061
2152-7393
Applied Mathematics
11
943
950
https://kitami-it.repo.nii.ac.jp/record/2000211/files/am_2020093015165783.pdf
application/pdf
310 KB
2022-05-20