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

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran

2 Department of Chemical industries, Faculty of Valiasr, Tehran Branch, Technical and Vocational University (TVU), Tehran, Iran

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.

Keywords

Computational Methods for Differential Equations
Volume 6, Issue 4
October 2018
Pages 448-455

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History

  • Receive Date: 31 January 2018
  • Revise Date: 18 April 2018
  • Accept Date: 08 July 2018

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