Numerical analysis of reversible A $ \mathsf {+}$ B $ \mathsf {\leftrightarrow}$ C reaction-diffusion systems

Abstract

Abstract. We develop an effective numerical method of studying large-time properties of reversible reaction-diffusion systems of type A + B ↔ C with initially separated reactants. Using it we find that there are three types of asymptotic reaction zones. In particular we show that the reaction rate can be locally negative and concentrations of species A and B can be nonmonotonic functions of the space coordinate x, locally significantly exceeding their initial values.PACS. 66.30.Ny Chemical interdiffusion; diffusion barriers -82.20.-w Chemical kinetics and dynamics -02.60.Lj Ordinary and partial differential equations; boundary value problems

Reversible A↔B reaction–diffusion process with initially mixed reactants: Boundary layer function approach

“…Under special conditions the alternating-sign reactions have been obtained in [24,25], where the reversible A + B  C reaction-diffusion processes were considered. As distinct from [24,25] the reversible A  B reaction-diffusion process considered here the alternating-sign reaction is the general result obtained without any additional assumptions.…”

Numerical evolution methods of rational form for reaction diffusion equations

“…Applications of the reaction diffusion equations are numerous. They have been in volved and used to simulate a variety of different phenomena, from environmental studies [54,55], biology [23,37,54,55,51], chemistry [54,55,44,62,66,82,79], medicine [33,50,54,55,51], ecology [48,61,54,55], and epidemiology [16,17].…”