Homotopy analysis method to water quality model in a uniform channel

In this paper, the Homotopy analysis method (HAM) for solving one-dimensional convection-diffusion equation with variable coefficients arising in the mathematical modeling of dispersion of pollutants in water is proposed. The Homotopy analysis method (HAM) for assessment of the chemical oxygen demand (COD) in a river is considered. In this proposed work, the HAM is used to compute the concentration of the pollutant for variable inputs. An illustrativeexample is included to demonstrate the accuracy, efficiency and simplicity of the method.