Theoretical Analysis of Nonlinear Equation in Reaction-Diffusion System: Hyperbolic Function Method

Singaravel Anandhar Salai Sivasundari, Ponraj Jeyabarathi and Lakshmanan Rajendran
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Singaravel Anandhar Salai Sivasundari: AMET University, India
Ponraj Jeyabarathi: Bharath Institute of Higher Education and Research, India
Lakshmanan Rajendran: AMET University, India

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 1, 24-31

Abstract: The nonlinear reactions-diffusion process describes a chemical reaction that involves three species, two reactions, and diffusion. The system of equations coupled with the nonlinear reaction terms with mixed Dirichlet and Neumann boundary conditions is solved analytically. The hyperbolic function method is used an approximate analytical expression of species concentrations. These analytical results are compared with numerical and previous available analytical results and are in good agreement.

Keywords: Mathematical model; Reaction diffusion equations; Hyperbolic function method; Numerical simulation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:1:id:14168

DOI: 10.24018/ejmath.2023.4.1.168

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