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 …
numerical solutions of linear and nonlinear singular boundary value problems. Laguerre …
An exact analytical solution of the Emden–Chandrasekhar equation for self-gravitating isothermal gas spheres in the theory of stellar structures
This article proposes an analytical solution for the Emden–Chandrasekhar equation (ECE)
that model polytropic stellar structure in astrophysics. The mathematical approach is based …
that model polytropic stellar structure in astrophysics. The mathematical approach is based …
A single layer fractional orthogonal neural network for solving various types of Lane–Emden equation
Lane–Emden equation is an important nonlinear singular second order differential equation
which can express various phenomena in astrophysics. On the other hand, by growing …
which can express various phenomena in astrophysics. On the other hand, by growing …
Nature-inspired computing approach for solving non-linear singular Emden–Fowler problem arising in electromagnetic theory
In this research, the well-known non-linear Lane–Emden–Fowler (LEF) equations are
approximated by developing a nature-inspired stochastic computational intelligence …
approximated by developing a nature-inspired stochastic computational intelligence …
Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function
In this paper, we propose compactly supported radial basis functions for solving some well-
known classes of astrophysics problems categorized as non-linear singular initial ordinary …
known classes of astrophysics problems categorized as non-linear singular initial ordinary …
[PDF][PDF] A numerical approach to solve Lane-Emden type equations by the fractional order of rational Bernoulli functions
In this paper, a numerical method based on the hybrid of the quasilinearization method
(QLM) and the collocation method is suggested for solving wellknown nonlinear Lane …
(QLM) and the collocation method is suggested for solving wellknown nonlinear Lane …
A new Bernoulli wavelet operational matrix of derivative method for the solution of nonlinear singular Lane–Emden type equations arising in astrophysics
S Balaji - Journal of Computational and Nonlinear …, 2016 - asmedigitalcollection.asme.org
In this paper, a new method is presented for solving generalized nonlinear singular Lane–
Emden type equations arising in the field of astrophysics, by introducing Bernoulli wavelet …
Emden type equations arising in the field of astrophysics, by introducing Bernoulli wavelet …
[HTML][HTML] An efficient hybrid computational technique for the time dependent Lane-Emden equation of arbitrary order
The study of dynamic behaviour of nonlinear models that arise in ocean engineering play a
vital role in our daily life. There are many examples of ocean water waves which are …
vital role in our daily life. There are many examples of ocean water waves which are …
An effective approach based on Smooth Composite Chebyshev Finite Difference Method and its applications to Bratu-type and higher order Lane–Emden problems
Abstract The Smooth Composite Chebyshev Finite Difference method is generalized for
higher order initial and boundary value problems. Round-off and truncation error analyses …
higher order initial and boundary value problems. Round-off and truncation error analyses …
A nonstandard finite difference technique for singular Lane-Emden type equations
M Chapwanya, R Dozva, G Muchatibaya - Engineering Computations, 2019 - emerald.com
Purpose This paper aims to design new finite difference schemes for the Lane–Emden type
equations. In particular, the authors show that the schemes are stable with respect to the …
equations. In particular, the authors show that the schemes are stable with respect to the …