This research aims to assemble two methodical spectral Legendre's derivative algorithms to
numerically attack the Lane-Emden, Bratu's, and singularly perturbed type equations. We …

In this paper a Mexican Hat Wavelet based neural network is designed and applied for
solving the nonlinear Bratu type equation. This equation is widely used in fuel ignition …

In the present paper, we construct the numerical solution for time fractional (1+ 1)-and (1+ 2)-
dimensional Schrödinger equations (TFSEs) subject to initial boundary. The solution is …

The primary point of this manuscript is to dissect and execute a new modified Galerkin
algorithm based on the shifted Jacobi polynomials for solving fractional differential …

In this paper, we propose the Haar wavelet collocation method for the numerical solution of
the Lane-Emden equation with boundary conditions. To overcome the singular behavior at …

In the present paper, a numerical technique for solving the fractional Bagley-Torvik equation
with homogeneous boundary conditions is investigated. The nonhomogeneous conditions …

Numerical solution for the system of Lane-Emden type equations using cubic B-spline
method arising in engineering Page 1 AIMS Mathematics, 8(6): 14747–14766. DOI: 10.3934/math.2023754 …

This article introduces two numerical methods to address boundary value problems
associated with secondorder and fractional differential equations. These methods employ …

In this paper, we study the system of Lane-Emden-Fowler type equations which model many
phenomena in mathematical physics and astrophysics. The equivalent Volterra integral …

Sturm-Liouville problems have yielded the biggest achievement in the spectral theory of
ordinary differential operators. Sturm-Liouville boundary value issues appear in many key …