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- Title
A mathematical study on non-linear initial-boundary value problem for R-D equation.
- Authors
Ananthaswamy, V.; Chitra, J.; Jothi, J. Anantha; Sivasundaram, Seenith
- 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.
- Subjects
CHEMICAL reactions; NONLINEAR boundary value problems; CHEMICAL precursors; CHEMICAL decomposition; AUTOCATALYSIS
- Publication
Nonlinear Studies, 2024, Vol 31, Issue 1, p327
- ISSN
1359-8678
- Publication type
Article