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Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction

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Document pages: 8 pages

Abstract: The existence of positive solutions to the system of ordinarydifferential equations related to the Belousov-Zhabotinsky reaction isestablished.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, thesystem is discretized as difference equations of explicit form, employingoperator splitting methods with linear stability conditions. Algorithm to solve the alternate solution is given.

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