DefinePK

Abstract

In this paper, we have developed operational matrix for estimating the approximate solutions to water quality assessment model. The model is of the form of Convection-Diffusion Equation (CDE) with variable coefficients. An efficient spectral method has been utilized to assess the chemical oxygen demand (COD) in a river. The obtained numerical solutions have been compared with results of Runge-Kutta-Fehlberg fourth-fifth order method (RKF45M) and optimal homotopy asymptotic method (OHAM). The convergence and supporting analysis of the method are investigated Numerical experiments are given to demonstrate the accuracy and efficiency of the proposed method . A few numerical examples are provided to demonstrate the validity and applicability of the proposed method.