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J. Biazar and R. Islam, “Solution of Wave Equation by Adomian Decomposition Method and the Restrictions of the Method,” Applied Mathematics and Computation, Vol. 149, No. 3, 2004, pp. 807-814. doi:10.1016/S0096-3003(03)00186-3

has been cited by the following article:

• TITLE: Theoretical Analysis of Mass Transfer with Chemical Reaction Using Absorption of Carbon Dioxide into Phenyl Glycidyl Ether Solution

  AUTHORS: Muthukaruppan Subramaniam, Indira Krishnaperumal, Rajendran Lakshmanan

  KEYWORDS: Carbon Dioxide; Phenyl Glycidyl Ether Solution; Nonlinear Differential Equations; Adomian Decomposition Method; Boundary Value Problems

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10, October 12, 2012

  ABSTRACT: Theoretical analysis corresponding to the diffusion and reaction kinetics in a chemical reaction between carbon dioxide and phenyl glycidyl ether solution is presented. Analytical expressions pertaining to the concentration of carbon dioxide (CO2), phenyl glycidyl ether solution (PGE) and flux are obtained in terms of reaction rate constants. In this paper, a powerful analytical method, called the Adomian decomposition method (ADM) is used to obtain approximate analytical solutions for nonlinear differential equations. Furthermore, in this work the numerical simulation of the problem is also reported using Scilab/Matlab program. An agreement between analytical and numerical results is noted.