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Analytical Solution of Cubic Autocatalytic Reaction-Diffusion Equations: Homotopy Pertuburation Approach

Analytical Solution of Cubic Autocatalytic Reaction-Diffusion Equations: Homotopy Pertuburation Approach

D. Shanthi, L. Rajendran
Copyright: © 2012 |Pages: 20
ISBN13: 9781609608606|ISBN10: 1609608607|EISBN13: 9781609608613
DOI: 10.4018/978-1-60960-860-6.ch009
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MLA

Shanthi, D., and L. Rajendran. "Analytical Solution of Cubic Autocatalytic Reaction-Diffusion Equations: Homotopy Pertuburation Approach." Advanced Methods and Applications in Chemoinformatics: Research Progress and New Applications, edited by Eduardo A. Castro and A. K. Haghi, IGI Global, 2012, pp. 199-218. https://doi.org/10.4018/978-1-60960-860-6.ch009

APA

Shanthi, D. & Rajendran, L. (2012). Analytical Solution of Cubic Autocatalytic Reaction-Diffusion Equations: Homotopy Pertuburation Approach. In E. Castro & A. Haghi (Eds.), Advanced Methods and Applications in Chemoinformatics: Research Progress and New Applications (pp. 199-218). IGI Global. https://doi.org/10.4018/978-1-60960-860-6.ch009

Chicago

Shanthi, D., and L. Rajendran. "Analytical Solution of Cubic Autocatalytic Reaction-Diffusion Equations: Homotopy Pertuburation Approach." In Advanced Methods and Applications in Chemoinformatics: Research Progress and New Applications, edited by Eduardo A. Castro and A. K. Haghi, 199-218. Hershey, PA: IGI Global, 2012. https://doi.org/10.4018/978-1-60960-860-6.ch009

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Abstract

The system is considered here with two chemical species, the reactant a and autocatalyst b. The Gray-Scott model of cubic-autocatalysis with linear decay is coupled with diffusion and considered in a one-dimensional reactor (a reactor-diffusion cell). Steady-state and non steady- state concentration profiles of the reactant and autocatalyst in Gray-Scott model are obtained using He’s Homotopy pertuburation method for small values parameters. A satisfactory agreement with analytical and numerical results are noted.

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