[PDF] Top 20 The Adomian Decomposition Method for a Type of Fractional Differential Equations

... Physics Fractional calculus is found to be more suitable modeling the process with long range interaction and physical problems described by fractional equations, but sometimes it’s difficult to get ... See full document

... nonlinear fractional differential equations. Adomian Decomposition method is applied to these equations by using Taylor series expansion and Chebyshev polynomial ... See full document

... numerical method relatively new for solving fuzzy fractional differential equations using Adomian decomposition method (ADM) where the fractional derivative is ... See full document

... The Adomian decomposition method has been used in 9-14 to solve effectively, easily and accurately a large class of linear and non-linear ordinary, partial, deterministic or stochastic ... See full document

... and Adomian decomposition method [13] [14] [15] [16] ...The Adomian decomposition method provides the solution in a rapid convergent series with computable ...This method ... See full document

... modified Adomian decomposition method for solving nonlinear IVPs of the first order nonlinear ODEs and two, three, four and seven dimensional systems of nonlinear ...homogeneous equations with ... See full document

... Most fractional differential equation don’t have exact analytic solutions , so approximation and numerical techniques must be used ...iteration method is based on Lagrange multiplier ...fourth-order ... See full document

... This method generates a solution in the form of a series whose terms are determined by a recursive relationship using the Adomian ...1980’s, Adomian decomposition method has led to ... See full document

... this method is that it can be applied directly to all types of differential and integral equations, linear or non-linear, homogeneous or inhomogeneous, with constant or variable ...the method ... See full document

... this type of nonlinear partial differential equations such as the Adomian Decomposition Method (ADM) [5-9], the EXP function method [10], the Homotopy Perturbation ... See full document

... Caputo fractional derivative and α is a parameter describing the order of the fractional ...of equations arise in the mathematical modelling of various physical phenomena, such as heat conduction in ... See full document

... approximate fractional differential equations, such as Adomian decomposition method [17], variational iteration method [18], homotopy analysis method [19] and collocation ... See full document

... this type of nonlinear ordinary differential equations, specifi- cally on Lane-Emden type equations such as the Adomian Decomposition Method (ADM) [5], the Homotopy ... See full document

... by Adomian decomposition, homotopy perturbation, Variational iteration, Differential transform [4]-[12] and so ...Laplace Adomian Decomposition Method (LADM) proposed in [13] and ... See full document

... The Adomian decomposition method can handle any kind of linear or non-linear differential ...exact method which excellent ...of differential and integral equations, linear ... See full document

... Modified Adomian Decomposition method (MADM) was introduced and applied to a reduced Fractional differential ...The fractional derivative is considered in the Caputo sense ... See full document

... this type of nonlinear partial differential equations such as the Adomian Decomposition Method (ADM) [4-7], the EXP function method [8], the Homotopy Perturbation ... See full document

... Keywords: Bratu problem, Bratu-Type problems, standard Adomian decomposition method, modified Adomian decomposition method, shooting method, finite difference method.... rvIasalah Jenis-[r] ... See full document

... The Adomian decomposition method (ADM) proposed by George Adomian is one of the teachnique to solve linear as well as nonlinear differential equations that are encountered in the ... See full document

... suggested method by George Adomian, so-called Adomian decomposition method (ADM), has been developed for solving different kinds of equations in recent years [7, 8, 10, ... See full document