%0 Journal Article
%T Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Saadatmandi, Abbas
%A Fayyaz, Samaneh
%D 2018
%\ 10/01/2018
%V 6
%N 4
%P 448-455
%! Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants
%K Chebyshev finite difference method
%K Gauss-Lobatto nodes
%K Excess sludge production
%K Activated sludge
%K Carbon substrate
%R
%X The Chebyshev finite difference method is applied to solve a system of two coupled nonlinear Lane-Emden differential equations arising in mathematical modelling of the excess sludge production from wastewater treatment plants. This method is based on a combination of the useful properties of Chebyshev polynomials approximation and finite difference method. The approach consists of reducing the problem to a set of algebraic equations. Numerical results are included to demonstrate the validity and applicability of the technique and a comparison is made with the existing results.
%U https://cmde.tabrizu.ac.ir/article_7669_f61c52f9072cc754cbc511507c3f21cc.pdf