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 ...

In this paper, we propose a method for solving some classes of the singular fractional nonlinear Lane-Emden type equations. The is proposed by utilizing second-kind Chebyshev wavelets in conjunction with quasilinearization technique. operational matrices are used. tested on standard equation, isothermal gas spheres and other examples. We compare results produced present well-known to show accur...