[PDF][PDF] A review of the Adomian decomposition method and its applications to fractional differential equations
In this article we review the Adomian decomposition method (ADM) and its modifications
including different modified and parametrized recursion schemes, the multistage ADM for …
including different modified and parametrized recursion schemes, the multistage ADM for …
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 …
A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
In this paper we propose a new modified recursion scheme for the resolution of multi-order
and multi-point boundary value problems for nonlinear ordinary and partial differential …
and multi-point boundary value problems for nonlinear ordinary and partial differential …
[HTML][HTML] Haar wavelet collocation method for Lane–Emden equations with Dirichlet, Neumann and Neumann–Robin boundary conditions
In this paper, we present a numerically stable algorithm based on the Haar wavelet
collocation method (hwcm) for numerical solution of a class of Lane–Emden equation with …
collocation method (hwcm) for numerical solution of a class of Lane–Emden equation with …
An efficient numerical technique for the solution of nonlinear singular boundary value problems
In this work, a new technique based on Green's function and the Adomian decomposition
method (ADM) for solving nonlinear singular boundary value problems (SBVPs) is …
method (ADM) for solving nonlinear singular boundary value problems (SBVPs) is …
On the convergence of Mickens' type nonstandard finite difference schemes on Lane-Emden type equations
In this paper, we analyse Mickens' type non-standard finite difference schemes (NSFD) and
establish their convergence. We then apply these schemes on Lane Emden equations. The …
establish their convergence. We then apply these schemes on Lane Emden equations. The …
[HTML][HTML] A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions
In this paper we propose a new modified recursion scheme for the resolution of boundary
value problems (BVPs) for second-order nonlinear ordinary differential equations with Robin …
value problems (BVPs) for second-order nonlinear ordinary differential equations with Robin …
An optimal decomposition method for analytical and numerical solution of third-order Emden–Fowler type equations
The current study formulated an optimal decomposition approach to solve different nonlinear
third-order Emden–Fowler equations that arise in various scientific applications. To avoid …
third-order Emden–Fowler equations that arise in various scientific applications. To avoid …
The optimal modified variational iteration method for the Lane-Emden equations with Neumann and Robin boundary conditions
An effective analytical technique is proposed for the solution of the Lane-Emden equations.
The proposed technique is based on the variational iteration method (VIM) and the …
The proposed technique is based on the variational iteration method (VIM) and the …
Numerical algorithm for solution of the system of Emden–Fowler type equations
An efficient numerical approach for solving the system of the Lane–Emden–Fowler type
equations with boundary conditions is proposed. To avoid singular behavior, we use the …
equations with boundary conditions is proposed. To avoid singular behavior, we use the …