in this article, we present a fractional order hiv-1 infectionmodel of cd4+ t-cell. we analyze the effect of the changing the averagenumber of the viral particle n with initial conditions of the presentedmodel. the laplace adomian decomposition method is applying to checkthe analytical solution of the problem. we obtain the solutions of thefractional order hiv-1 model in the form of infinite se...

In this paper, we propose a new variation of the Adomian polynomials, which we call the degenerate Adomian polynomials, for the power series solutions of nonlinear ordinary differential equations with nonseparable nonlinearities. We establish efficient algorithms for the degenerate Adomian polynomials. Next we compare the results by the Adomian decomposition method using the classic Adomian pol...

In [M.M. Hosseini, Adomian decomposition method with Chebyshev polynomials, Appl. Math. Comput., in press] an efficient modification of the Adomian decomposition method was presented by using Chebyshev polynomials. Also, in [M.M. Hosseini, Adomian decomposition method for solution of differential algebraic equations, J. Comput. Appl. Math., in press] solution of linear differential algebraic eq...

The application of a new modified Adomian decomposition method for obtaining the analytic solution of Lane-Emden type equations is investigated. The proposed method, called the spectral Adomian decomposition method, is based on a combination of spectral method and Adomian decomposition method. A comparative study between the proposed method and Adomian decomposition method is presented. The obt...

We describe a variant of a domain decomposi tion method proposed by Gleicher and Kass for in tersecting and trimming parametric surfaces In stead of using interval arithmetic to guide the de composition the variant described here uses a ne arithmetic a tool recently proposed for range analy sis A ne arithmetic is similar to standard interval arithmetic but takes into account correlations be twe...

Vector part i t ion functions appear in m a n y areas of mathemat ics and its applications, including representat ion theory [ 9 ] , commuta t ive algebra [ 14], approximat ion theory [ 4 ] and statistics [5 ] . It was shown by Blakley [ 2 ] that there exists a finite decomposi t ion of N d such that ~b A is a polynomial of degree n d on each piece. Here we describe such a decomposi t ion expli...

Our aim in this piece of work is to demonstrate the power of the Laplace Adomian decomposition method (LADM) in approximating the solutions of nonlinear differential equations governing the two-dimensional viscous flow induced by a shrinking sheet. Keywords—Adomian polynomials, Laplace Adomian decomposition method, Padé Approximant, Shrinking sheet.

In this paper, Adomian Decomposition Method (ADM) is used to study the linear time-invariant transistor circuit. The results obtained using Adomian Decomposition Method and the methods taken from the literature [5] were compared with the exact solutions of the linear time-invariant transistor circuit. It is found that the solution obtained using the Adomian Decomposition Method is closer to the...

In this paper, theAdomiandecompositionmethod and Padé approximants are integrated to study thedeflection andpull-in instability of nanocantilever electromechanical switches. In a distributed parameter model, intermolecular forces, including Casimir forces, are taken into account considering their range of application. A closed form power series solution based on Adomian polynomials is obtained....

A numerical method based on the Adomian decomposition method which has been developed by Adomian [Adomian, G. (1994). Solving Frontier Problems of Physics: The Decomposition Method. Kluwer Academic Publishers, Boston, MA] is introduced in this paper for the approximate solution of delay differential equation (DDE). The algorithm is illustrated by studying an initial value problem. The results o...