In this paper, the nonlinear singular Thomas–Fermi differential equation for neutral atoms is
solved using the fractional order of rational Chebyshev orthogonal functions (FRCs) of the …

We present the application of optimal control theory to a simple SI malaria model with non-
linear incidence rate. The basic properties of the model, including the epidemic threshold …

In this paper, we present two numerical collocation methods for approximating the solution
of Volterra's population model by utilizing auto-correlation functions of scaling functions of …

In this paper, a numerical method based on the hybrid of the quasilinearization method
(QLM) and the collocation method is suggested for solving wellknown nonlinear Lane …

In this paper, a new algorithm based on the fractional order of rational Euler functions (FRE)
is introduced to study the Thomas-Fermi (TF) model which is a nonlinear singular ordinary …

In this paper, the fractional order of rational Bessel functions collocation method (FRBC) to
solve Thomas-Fermi equation which is defined in the semi-infinite domain and has …

In this study, we introduce a new approximative algorithm to get numerical solutions of the
nonlinear first Painlevé equation. Indeed, to obtain an approximate solution, a combination …

In this paper, the nonlinear Hunter–Saxton equation, which is a famous partial differential
equation, is solved by using a hybrid numerical method based on the quasilinearization …

In this study, the Quasi-Linearization Method (QLM) is combined with the collocation
method, based on the bivariate generalized fractional order of the Chebyshev functions (B …

Pseudospectral approach based on rational Legendre and rational Chebyshev functions is
developed to solve the nonlinear integro-differential Volterra's population model. The model …