[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 …
A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
JS Duan, R Rach - Applied Mathematics and Computation, 2011 - Elsevier
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 …
Numerical computing to solve the nonlinear corneal system of eye surgery using the capability of Morlet wavelet artificial neural networks
In this study, a novel heuristic computing technique is presented to solve bioinformatics
problem for the corneal shape model of eye surgery using Morlet wavelet artificial neural …
problem for the corneal shape model of eye surgery using Morlet wavelet artificial neural …
Unsupervised constrained neural network modeling of boundary value corneal model for eye surgery
In this article, a numerical computing technique is developed for solving the nonlinear
second order corneal shape model (CSM) using feed-forward artificial neural networks …
second order corneal shape model (CSM) using feed-forward artificial neural networks …
Homotopy perturbation technique for solving two-point boundary value problems–comparison with other methods
C Chun, R Sakthivel - Computer Physics Communications, 2010 - Elsevier
The two-point boundary value problems occur in a wide variety of problems in engineering
and science. In this paper, we implement the homotopy perturbation method for solving the …
and science. In this paper, we implement the homotopy perturbation method for solving 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 …
Modified Adomian decomposition method and computer implementation for solving singular boundary value problems arising in various physical problems
M Kumar, N Singh - Computers & Chemical Engineering, 2010 - Elsevier
In this paper, we present an efficient numerical algorithm for solving singular two-point linear
and non-linear problems, which is based on the Modified Adomian Decomposition Method …
and non-linear problems, which is based on the Modified Adomian Decomposition Method …
A soft computing approach based on fractional order DPSO algorithm designed to solve the corneal model for eye surgery
In this research, a soft computing approach based on a Nature-inspired technique, the
Fractional-Order Darwinian Particle Swarm Optimization (FO-DPSO) algorithm, is hybridized …
Fractional-Order Darwinian Particle Swarm Optimization (FO-DPSO) algorithm, is hybridized …
A bibliography of the theory and applications of the Adomian decomposition method, 1961-2011
R Rach - Kybernetes, 2012 - emerald.com
I am pleased to submit my comprehensive worldwide bibliography on the Adomian
decomposition method:“A bibliography of the theory and applications of the Adomian …
decomposition method:“A bibliography of the theory and applications of the Adomian …
Numerical solution of singular boundary value problems using Green's function and improved decomposition method
In this work, an effective technique for solving a class of singular two point boundary value
problems is proposed. This technique is based on the Adomian decomposition method …
problems is proposed. This technique is based on the Adomian decomposition method …