On the solution of time‐fractional dynamical model of Brusselator reaction‐diffusion system arising in chemical reactions

By Rajarama Mohan Jena, Snehashish Chakraverty, Hadi Rezazadeh, D. Domiri Ganji. Mathematical methods in the applied sciences, 2020

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Fractional Brusselator reaction‐diffusion system (BRDS) is used for modeling of specific chemical reaction‐diffusion processes. It may be noted that numerous models in nonlinear science are defined by fractional differential equations (FDEs) in which an unknown function appears under the operation of a fractional‐order derivative. Even though many researchers have studied the applicability and practicality of this model, the analytical approach of this model is rarely found in the literature. In this investigation, a novel semi‐analytical technique called fractional reduced differential transform method (FRDTM) has been applied to solve the present model, which is characterized by the time‐fractional derivative (FD). Obtained outcomes are compared with the solution of other existing methods for a particular case. Also, the convergence analysis of this model has been studied here.

Subfields: Control and Systems Engineering, Modeling and Simulation, Public Health, Environmental and Occupational Health

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