We propose two new modified recursive schemes for solving a class of doubly singular two-point boundary value problems. These schemes are based on Adomian decomposition method ADM and new proposed integral operators. We use all the boundary conditions to derive an integral equation before establishing the recursive schemes for the solution components. Thus we develop recursive schemes without a...

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...

This paper provides a comparative study of the Variational Iteration Method (VIM) and the Adomian Decomposition Method (ADM) to obtain analytic approximations of a nonlinear problem that arises in the thin film flow of a third grade fluid on a moving belt. An excellent agreement is observed between the series solutions for the velocity field obtained by these two methods. This comparison is ben...

This paper provides both analytical and numerical solutions of (PDEs) involving time-fractional derivatives. We implemented three powerful techniques, including the modified variational iteration technique, Adomian decomposition homotopy analysis to obtain an approximate solution for bounded space variable ν. The Laplace transformation is used in derivative operator enhance proposed methods’ pe...

The present paper proposes a mathematical method to numerically treat class of third-order linear Boundary Value Problems (BVPs). This is based on the combination Adomian Decomposition Method (ADM) and, modified shooting method. A complete derivation proposed has been provided, in addition its numerical implementation validation via utilization Runge-Kutta other existing methods. applied divers...

in this paper, the nonlinear differential equation for the convection of the temperature distribution of a straight fin  with the thermal conductivity depends on the temperature is solved using adomian decomposition method and padé approximation(padm) for boundary problems. actual results are then compared with results obtained previously  using digital solution by runge–kuttamethod and a diffe...

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...

A new method for approximate analytic series solution called multistep Laplace Adomian Decomposition Method MLADM has been proposed for solving the model for HIV infection of CD4 T cells. The proposed method is modification of the classical Laplace Adomian Decomposition Method LADM with multistep approach. Fourth-order Runge-Kutta method RK4 is used to evaluate the effectiveness of the proposed...