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M. Wadati, H. Sanuki and K. Konno, “Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws,” Progress of the Theoretical Physics, Vol. 53, No. 2, 1975, pp. 419-436. doi:10.1143/PTP.53.419

has been cited by the following article:

• TITLE: Analytical Expressions of Concentration of VOC and Oxygen in Steady-State in Biofilteration Model

  AUTHORS: Mayakkannan Sivasankari, Lakshmanan Rajendran

  KEYWORDS: Biofilters; Volatile Organic Compounds; Oxygen; Adomian Decomposition Method; Mathematical Modeling; Non-Linear Reaction/Diffusion Equations

  JOURNAL NAME: Applied Mathematics, Vol.4 No.2, February 27, 2013

  ABSTRACT: Mathematical models of steady-state biofilteration are discussed. The theoretical results are much useful for the design of biofilters. This model is based on the system of non-linear reaction/diffusion equations contains a non-linear term related to Monod kinetics, Andrews kinetics, interactive model from Monod kinetics and Andrews kinetics. Analytical expression of concentration of VOC (Volatile organic compounds) and oxygen are derived by solving the system of non-linear equations using Adomian decomposition method (ADM) method. Our analytical results are also compared with the simulation results. Satisfactory agreement is noted.