Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants

AuthorsAbbas Saadatmandi, Samaneh Fayyaz
JournalComputational Methods for Differential Equations
Page number448-455
Volume number6
Paper TypeFull Paper
Published At2018
Journal GradeScientific - research
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of
Journal IndexISI, ISC

Abstract

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.