The aim of the present analysis is to apply Adomian decomposition method for the solution
of a time-fractional Navier–Stokes equation in a tube. By using an initial value, the explicit …

The aim of this article is to introduce a new analytical and approximate technique to obtain
the solution of time-fractional Navier–Stokes equation in a tube. This proposed technique is …

In this paper we present the results of numerical analysis of optical solitons in Birefringent
Fibers with Kerr law nonlinearity for the special cases Thirring solitons. We studied these …

The Adomian method is widely used in approximate calculation, its main demerit is that it is
very difficult and complex to calculate Adomian's polynomials. This paper introduces the …

In this article we use Adomian decomposition method, which is a well-known method for
solving functional equations now-a-days, to solve systems of differential equations of the first …

In this article we present four analytic recurrence algorithms for the multivariable Adomian
polynomials. As special cases, we deduce the four simplified results for the one-variable …

The Laplace decomposition algorithm (LDA) is a numerical algorithm can be adapted to
solve Duffing equations. This paper both describes the principle of LDA and discusses its …

In this article the problem of the spread of a non-fatal disease in a population which is
assumed to have constant size over the period of the epidemic is considered. Mathematical …

Purpose–To provide a new proof of convergence of the Adomian decomposition series for
solving nonlinear ordinary and partial differential equations based upon a thorough …

In this paper a recurrence technique for calculating Adomian polynomials is proposed, the
convergence of the series for the Adomian polynomials is discussed, and the dependence of …