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

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Listed:
  • Singaravel Anandhar Salai Sivasundari

    (AMET University, India)

  • Ponraj Jeyabarathi

    (Bharath Institute of Higher Education and Research, India)

  • Lakshmanan Rajendran

    (AMET University, India)

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.

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Handle: RePEc:epw:ejmath:v:4:y:2023:i:1:id:14168
DOI: 10.24018/ejmath.2023.4.1.168
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