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 …
In this study, a novel stochastic computational frameworks based on fractional Meyer wavelet artificial neural network (FMW-ANN) is designed for nonlinear-singular fractional …
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 …
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 …
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 …
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 …
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 …
This article proposes an analytical solution for the Emden–Chandrasekhar equation (ECE) that model polytropic stellar structure in astrophysics. The mathematical approach is based …
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 …