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A mathematical study on non-linear initial-boundary value problem for R-D equation.

  • Published In: Nonlinear Studies, 2024, v. 31, n. 1. P. 327 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Ananthaswamy, V.; Chitra, J.; Jothi, J. Anantha; Sivasundaram, Seenith 3 of 3

Abstract

A mathematical modelling of cubic autocatalytic reactions with precursor chemicals and linear decay are studied. The model is associated with the diffusion, which is treated in a 1 -D reactor. In this model, reactants are delivered by two mechanisms: diffusion across the cell boundaries and degradation of precursor chemical abundant within the reactor. The semi-analytical solutions are derived for the concentration of dimensionless reactant and dimensionless autocatalyst in the cubic autocatalytic reaction-diffusion equations for the time dependent and time independent by using the Homotopy analysis technique. The obtained semi-analytical solutions are then compared with the numerical simulation and found to be very good fit for all values of the dimensionless parameters. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Nonlinear Studies. 2024/01, Vol. 31, Issue 1, p327
  • Document Type:Article
  • Subject Area:Chemistry
  • Publication Date:2024
  • ISSN:1359-8678
  • Accession Number:175977814
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