A neural network approach for solving nonlinear differential equations of Lane–Emden type
In this paper, we propose an Artificial Neural Network (ANN) method for solving some well-
known classes of Lane–Emden type equations which are the important nonlinear singular …
known classes of Lane–Emden type equations which are the important nonlinear singular …
Numerical solution and error analysis of the Thomas–Fermi type equations with integral boundary conditions by the modified collocation techniques
This paper introduces modified collocation techniques that utilize Chebyshev and Legendre
polynomials for solving Thomas–Fermi type equations with integral-type boundary …
polynomials for solving Thomas–Fermi type equations with integral-type boundary …
[PDF][PDF] Approximate solution of Lane-Emden problem via modified Hermite operation matrix method
Lane-Emden equations are singular initial value problems and they are important in
mathematical physics and astrophysics. The aim of this present paper is presenting a new …
mathematical physics and astrophysics. The aim of this present paper is presenting a new …
An efficient numerical approach for solving three-point Lane–Emden–Fowler boundary value problem
Abstract For three-point Lane–Emden–Fowler boundary value problems (LEFBVPs), we
propose two robust algorithms consisting of Bernstein and shifted Chebyshev polynomials …
propose two robust algorithms consisting of Bernstein and shifted Chebyshev polynomials …
Neuro-swarm computational heuristic for solving a nonlinear second-order coupled Emden–Fowler model
The aim of the current study is to present the numerical solutions of a nonlinear second-
order coupled Emden–Fowler equation by develo** a neuro-swarming-based computing …
order coupled Emden–Fowler equation by develo** a neuro-swarming-based computing …
Numerical solution of time-dependent Emden-Fowler equations using bivariate spectral collocation method on overlap** grids
In this work, we present a new modification to the bivariate spectral collocation method in
solving Emden-Fowler equations. The novelty of the modified approach is the use of …
solving Emden-Fowler equations. The novelty of the modified approach is the use of …
Two meshless methods for solving nonlinear ordinary differential equations in engineering and applied sciences
MA Al-Jawary, GH Ibraheem - Nonlinear Engineering, 2020 - degruyter.com
In this paper, two meshless methods have been introduced to solve some nonlinear
problems arising in engineering and applied sciences. These two methods include the …
problems arising in engineering and applied sciences. These two methods include the …
An algorithm based on homotopy perturbation theory and its mathematical analysis for singular nonlinear system of boundary value problems
In this paper, a promising technique based on the homotopy perturbation method for solving
singular nonlinear system of boundary value problems (BVPs) is employed. The original …
singular nonlinear system of boundary value problems (BVPs) is employed. The original …
A novel collocation approach using Chebyshev wavelets for solving fourth-order Emden-Fowler type equations
This research paper presents a new approach using Chebyshev wavelets to solve fourth-
order Emden-Fowler type equations. To address the singularity issue at x= 0, we initially …
order Emden-Fowler type equations. To address the singularity issue at x= 0, we initially …
The operational matrices for Elliptic Partial Differential Equations with mixed boundary conditions
MO Enadi, MA Al-Jawary - Journal of Physics: Conference Series, 2024 - iopscience.iop.org
The purpose of this research is to implement the orthogonal polynomials associated with
operational matrices to get the approximate solutions for solving two-dimensional elliptic …
operational matrices to get the approximate solutions for solving two-dimensional elliptic …