Authors | Abbas Saadatmandi, Samaneh Fayyaz |
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Journal | Computational Methods for Differential Equations |
Page number | 448-455 |
Volume number | 6 |
Paper Type | Full Paper |
Published At | 2018 |
Journal Grade | Scientific - research |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
Journal Index | ISI, 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.