A new heuristic computational solver for nonlinear singular Thomas–Fermi system using evolutionary optimized cubic splines
In the present work, a new stochastic computing technique based on evolutionary cubic
spline method (CSM) is introduced for solving nonlinear singular Thomas–Fermi system …
spline method (CSM) is introduced for solving nonlinear singular Thomas–Fermi system …
Solving a class of Thomas–Fermi equations: A new solution concept based on physics-informed machine learning
This paper presents a novel physics-informed machine learning approach, designed to
approximate solutions to a specific category of Thomas–Fermi differential equations. To …
approximate solutions to a specific category of Thomas–Fermi differential equations. To …
A new numerical approach to solve Thomas–Fermi model of an atom using bio-inspired heuristics integrated with sequential quadratic programming
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 …
of nonlinear singular Thomas–Fermi equation (TFE) arising in potential and charge density …
Atomic Size Pearls being Dark Matter giving Electron Signal
CD Froggatt, HB Nielsen - arXiv preprint arXiv:2203.02779, 2022 - arxiv.org
We seek to explain both the seeming observation of dark matter by the seasonal variation of
the DAMA-LIBRA data and the observation of" electron recoil" events at Xenon1T in which …
the DAMA-LIBRA data and the observation of" electron recoil" events at Xenon1T in which …
Fractional order of rational Jacobi functions for solving the non-linear singular Thomas-Fermi equation
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 …
proposed that utilizes quasilinearization method to solve non-linear singular Thomas-Fermi …
An efficient hybrid method to solve nonlinear differential equations in applied sciences
M Delkhosh, H Cheraghian - Computational and Applied Mathematics, 2022 - Springer
In this study, by combining the generalized pseudospectral method, which is a new
numerical method, with the quasi-linearization method (QLM), an efficient hybrid method to …
numerical method, with the quasi-linearization method (QLM), an efficient hybrid method to …
[PDF][PDF] Fractional Order Chebyshev Cardinal Functions for Solving Two Classes of Fractional Differential Equations.
L Li, Y Li, Q Huang - Engineering Letters, 2022 - engineeringletters.com
In this paper, based on the operation matrix of the fractional order Chebyshev cardinal
function (FOCCF), the accurate and effective method for solving two different forms of …
function (FOCCF), the accurate and effective method for solving two different forms of …
Atomic Size Dark Matter Pearls, Electron Signal
CD Froggatt, HB Nielsen - arXiv preprint arXiv:2111.10879, 2021 - arxiv.org
We explain both the observation of dark matter by the seasonal variation of the DAMA-
LIBRA data and the observation of``electron recoil''events at Xenon1T by the SAME dark …
LIBRA data and the observation of``electron recoil''events at Xenon1T by the SAME dark …
Revisiting the Thomas–Fermi equation: accelerating rational Chebyshev series through coordinate transformations
We revisit the spectral solution of the Thomas–Fermi problem for neutral atoms, urr−(1/r) u
3/2= 0 on r∈[0,∞] with u (0)= 1 and u (∞)= 0 to illustrate some themes in solving differential …
3/2= 0 on r∈[0,∞] with u (0)= 1 and u (∞)= 0 to illustrate some themes in solving differential …
An efficient numerical method to solve the boundary layer flow of an Eyring-Powell non-Newtonian fluid
In this paper, the boundary layer flow of an Eyring-Powell non-Newtonian fluid over a
linearly stretching sheet is solved using the combination of the quasilinearization method …
linearly stretching sheet is solved using the combination of the quasilinearization method …