A neuro-heuristic scheme is design to solve nonlinear singular second order system based
on Thomas-Fermi equation using the strength of universal approximation capabilities of …

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 …

In this study, a novel bio-inspired computing approach is developed to analyze the dynamics
of nonlinear singular Thomas–Fermi equation (TFE) arising in potential and charge density …

In this paper, a new method based on Fractional order of Rational Jacobi (FRJ) functions is
proposed that utilizes quasilinearization method to solve non-linear singular Thomas-Fermi …

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 …

We construct two new classes of log orthogonal functions in semi-infinite intervals, log
orthogonal functions (LOFs-II) and generalized log orthogonal functions (GLOFs-II), by …

We propose a geometric approach for the numerical integration of singular initial and
boundary value problems for (systems of) quasi-linear differential equations. It transforms …

We propose an iterative method to solve the nonlinear Thomas–Fermi equation based on
Laguerre pseudospectral approximation. Different from the direct use of pseudospectral …

A novel approach of Genetic Exponential Collocation Algorithm (GECA) is reported for the
solution of nonlinear singular Thomas–Fermi equation (TFE) arising in the statistical …