A review on developments in magnesium alloys

AA Kaya - Frontiers in Materials, 2020 - frontiersin.org
In order to facilitate the understanding of the current research efforts and directions, this
article first introduces the anomalous/problematic features of magnesium (Mg) and presents …

[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 …

Application of Legendre neural network for solving ordinary differential equations

S Mall, S Chakraverty - Applied Soft Computing, 2016 - Elsevier
In this paper, a new method based on single layer Legendre Neural Network (LeNN) model
has been developed to solve initial and boundary value problems. In the proposed …

[HTML][HTML] The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics

Z Odibat, S Momani - Computers & Mathematics with Applications, 2009 - Elsevier
Variational iteration method has been used to handle linear and nonlinear differential
equations. The main property of the method lies in its flexibility and ability to solve nonlinear …

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 …

Variational iteration method for fractional calculus-a universal approach by Laplace transform

GC Wu, D Baleanu - Advances in Difference Equations, 2013 - Springer
A novel modification of the variational iteration method (VIM) is proposed by means of the
Laplace transform. Then the method is successfully extended to fractional differential …

FMNSICS: Fractional Meyer neuro-swarm intelligent computing solver for nonlinear fractional Lane–Emden systems

Z Sabir, MAZ Raja, M Umar, M Shoaib… - Neural Computing and …, 2022 - Springer
The fractional neuro-evolution-based intelligent computing has substantial potential to solve
fractional order systems represented with Lane–Emden equation arising in astrophysics …

A Jacobi–Gauss collocation method for solving nonlinear Lane–Emden type equations

AH Bhrawy, AS Alofi - … in Nonlinear Science and Numerical Simulation, 2012 - Elsevier
In this paper, a shifted Jacobi–Gauss collocation spectral method is proposed for solving the
nonlinear Lane–Emden type equation. The spatial approximation is based on shifted Jacobi …

Adomian decomposition method for solving the Volterra integral form of the Lane–Emden equations with initial values and boundary conditions

AM Wazwaz, R Rach, JS Duan - Applied Mathematics and Computation, 2013 - Elsevier
In this paper, we use the systematic Adomian decomposition method to handle the integral
form of the Lane–Emden equations with initial values and boundary conditions. The Volterra …