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 …

Images taken and stored digitally are often degraded by noise, so that the perceived image
quality is significantly decreased in the presence of noise and human gaze behavior is …

The Lane-Emden equation has been used to model several phenomena in theoretical
physics, mathematical physics and astrophysics such as the theory of stellar structure. This …

In this research paper, we propose a novel approach that combines deep Q-networks with
context-free grammars to solve differential equations symbolically. Our method utilizes the …

In this chapter, we propose a machine learning method for solving a class of linear and
nonlinear ordinary differential equations (ODEs) which is based on the least squares …

In this paper, a new method based on rational Jacobi functions (RJ) is proposed that utilizes
quasilinearization method to solve non-linear singular Kidder equation on unbounded …

This paper is concerned with the development of a meshless local approach based on the
finite collocation method for solving Cauchy problems of 2-D elliptic PDEs in annulus …

In the present paper, a new method based on the Generalized Lagrangian Jacobi Gauss
(GLJG) collocation method is proposed. The nonlinear Kidder equation, which explains …

The aim of this paper is to introduce a new numerical approach named least-squares
support vector machines based on generalized Laguerre functions collocation …

A new approach, named the exponential function method (EFM) is used to obtain solutions
to nonlinear ordinary differential equations with constant coefficients in a semi-infinite …