Novel design of Morlet wavelet neural network for solving second order Lane–Emden equation

Z Sabir, HA Wahab, M Umar, MG Sakar… - … and Computers in …, 2020 - Elsevier
In this study, a novel computational paradigm based on Morlet wavelet neural network
(MWNN) optimized with integrated strength of genetic algorithm (GAs) and Interior-point …

Numerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets

F Zhou, X Xu - Advances in Difference Equations, 2016 - Springer
In this paper, a collocation method based on Laguerre wavelets is proposed for the
numerical solutions of linear and nonlinear singular boundary value problems. Laguerre …

[HTML][HTML] A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems

Z Sabir, MAZ Raja, JLG Guirao, M Shoaib - Alexandria Engineering Journal, 2021 - Elsevier
In this study, a novel stochastic computational frameworks based on fractional Meyer
wavelet artificial neural network (FMW-ANN) is designed for nonlinear-singular fractional …

The Legendre wavelet method for solving fractional differential equations

M ur Rehman, RA Khan - … in Nonlinear Science and Numerical Simulation, 2011 - Elsevier
Fractional differential equations are solved using the Legendre wavelets. An operational
matrix of fractional order integration is derived and is utilized to reduce the fractional …

An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method

K Parand, M Dehghan, AR Rezaei… - Computer Physics …, 2010 - Elsevier
In this paper we propose a collocation method for solving some well-known classes of Lane–
Emden type equations which are nonlinear ordinary differential equations on the semi …

A neural network approach for solving nonlinear differential equations of Lane–Emden type

K Parand, AA Aghaei, S Kiani, TI Zadeh… - Engineering with …, 2024 - Springer
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 …

Neural network methods to solve the Lane–Emden type equations arising in thermodynamic studies of the spherical gas cloud model

I Ahmad, MAZ Raja, M Bilal, F Ashraf - Neural Computing and Applications, 2017 - Springer
In the present study, stochastic numerical computing approach is developed by applying
artificial neural networks (ANNs) to compute the solution of Lane–Emden type boundary …

Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden type

K Parand, M Shahini, M Dehghan - Journal of Computational Physics, 2009 - Elsevier
Lane–Emden equation is a nonlinear singular equation in the astrophysics that corresponds
to the polytropic models. In this paper, a pseudospectral technique is proposed to solve the …

An exact analytical solution of the Emden–Chandrasekhar equation for self-gravitating isothermal gas spheres in the theory of stellar structures

EA Azar, B Jalili, AA Azar, P Jalili, M Atazadeh… - Physics of the Dark …, 2023 - Elsevier
This article proposes an analytical solution for the Emden–Chandrasekhar equation (ECE)
that model polytropic stellar structure in astrophysics. The mathematical approach is based …

[HTML][HTML] A numerical method for solving boundary value problems for fractional differential equations

M ur Rehman, RA Khan - Applied Mathematical Modelling, 2012 - Elsevier
A numerical scheme, based on the Haar wavelet operational matrices of integration for
solving linear two-point and multi-point boundary value problems for fractional differential …