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Asymptotic Solution for a Water Quality Model in a Uniform Stream
Author(s) -
Fazle Mabood,
Nopparat Pochai
Publication year - 2013
Publication title -
international journal of engineering mathematics
Language(s) - English
Resource type - Journals
eISSN - 2356-7007
pISSN - 2314-6109
DOI - 10.1155/2013/135140
Subject(s) - homotopy perturbation method , mathematics , variable (mathematics) , dispersion (optics) , advection , homotopy , diffusion , homotopy analysis method , mathematical analysis , simplicity , mechanics , physics , thermodynamics , quantum mechanics , pure mathematics , optics
We employ approximate analytical method, namely, Optimal Homotopy Asymptotic Method (OHAM), to investigate a one-dimensional steady advection-diffusion-reaction equation with variable inputs arises in the mathematical modeling of dispersion of pollutants in water is proposed. Numerical values are obtained via Runge-Kutta-Fehlberg fourth-fifth order method for comparison purpose. It was found that OHAM solution agrees well with the numerical solution. An example is included to demonstrate the efficiency, accuracy, and simplicity of the proposed method

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