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Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants | ||
| Computational Methods for Differential Equations | ||
| مقاله 5، دوره 6، شماره 4، دی 2018، صفحه 448-455 اصل مقاله (194.24 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Abbas Saadatmandi* 1؛ Samaneh Fayyaz2 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran | ||
| 2Department of Chemical industries, Faculty of Valiasr, Tehran Branch, Technical and Vocational University (TVU), Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Chebyshev finite difference method؛ Gauss-Lobatto nodes؛ Excess sludge production؛ Activated sludge؛ Carbon substrate | ||
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آمار تعداد مشاهده مقاله: 774 تعداد دریافت فایل اصل مقاله: 812 |
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