Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants
Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-6-4_005
تاریخ نمایه سازی: 15 بهمن 1401
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:
Chebyshev finite difference method , Gauss-Lobatto nodes , Excess sludge production , Activated sludge , Carbon substrate