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 …

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 …

This work presents the novel Leal-polynomials (LP) for the approximation of nonlinear
differential equations of different kind. The main characteristic of LPs is that they satisfy …

This work presents the novel continuum‐cancellation Leal‐method (CCLM) for the
approximation of nonlinear differential equations. CCLM obtains accurate approximate …

In this paper, a hybrid method based on the collocation and Newton-Kantorovich methods is
used for solving the nonlinear singular Thomas-Fermi equation. At first, by using the Newton …