osting by E Abstract Recently, Behiry et al. (in press) [8] have introduced a discretized version of the Adomian decomposition method, namely ‘‘Discrete Adomian Decomposition Method (DADM)’’, for solving nonlinear Fredholm integral equations. In this paper, we extent Behiry et al.’s idea on the wellknown homotopy analysis method, and introduce ‘‘Discrete homotopy analysis method (DHAM)’’. The o...

in this paper, we apply the local fractional adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of fredholm integral equations of the second kind within local fractional derivative operators. the iteration procedure is based on local fractional derivative. the obtained results reveal that the proposed methods are very efficient and simple tools ...

The aim of this paper is to solve analytically fluid flow problems in a porous medium, the Laplace-Adomian method gives algorhims that converge faster achieve exact solution when it exists.

Adomian decomposition method has been applied to solve many functional equations so far. In this article, we have used this method to solve the fuzzy differential equation under generalized differentiability. We interpret a fuzzy differential equation by using the strongly generalized differentiability. Also one concrete application for ordinary fuzzy differential equation with fuzzy input data...

Here, Adomian decomposition method has been used for finding approximateand numerical solutions of nonlinear differential difference equations arising inmathematical physics. Two models of special interest in physics, namely, theHybrid nonlinear differential difference equation and Relativistic Toda couplednonlinear differential-difference equation are chosen to illustrate the validity andthe g...

adomian decomposition method has been applied to solve many functional equations so far. in this article, we have used this method to solve the fuzzy differential equation under generalized differentiability. we interpret a fuzzy differential equation by using the strongly generalized differentiability. also one concrete application for ordinary fuzzy differential equation with fuzzy input data...

In this paper, we apply the Fourier transform method with Adomian decomposition to solve Riccati equations . Proposed is based on and adomian methods. The solutions obtained using FADMs are compared numerical Rung Kutta2 Euler method. Also, error graphs of presented.

This paper is a numerical simulation of highly dispersive optical solitons in birefringent fibers with polynomial nonlinear form, which achieved for the first time. The algorithmic approach applied usage Laplace–Adomian decomposition scheme. Dark and bright soliton simulations are presented. error measure has very low count, thus, almost an exact replica such that analytically arise from govern...