Approximating the large time asymptotic reaction zone solution for fractional order kinetics \(A^n B^m\)

DOI10.3934/DCDSS.2012.5.219zbMath1364.35150OpenAlexW2029604925MaRDI QIDQ428450

Philip M. J. Trevelyan

Publication date: 22 June 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.219

zbMATH Keywords

approximate solutionsreaction-diffusionlarge time asymptoticfractional order kinetics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Theoretical approximation in context of PDEs (35A35) Free boundary problems for PDEs (35R35) Chemical kinetics in thermodynamics and heat transfer (80A30) Classical hypergeometric functions, ({}_2F_1) (33C05) Initial-boundary value problems for second-order parabolic systems (35K51)

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