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...

in this research iron manganese oxide nanocomposites were prepared by co-precipitation, sol-gel and mechanochemical methods by using iron (iii) nitrate, iron (ii) sulfate and manganese (ii) nitrate as starting materials. these nanocomposites were prepared in the presence of various catalyst beds. the polyvinyl pyrrolidon (pvp) was used as a capping agent to control the agglomeration of the nano...

simultaneous thermal analysis (sta) method has been applied to study decomposition reactions of ap under a flowing nitrogen atmosphere and static air. results obtained indicate that a phase transformation occurs prior to the decomposition reaction. decomposition takes place exothermally in two stages, first stage of decomposition could be suppressed by the controlled heating programme. addition...

Simultaneous thermal analysis (STA) method has been applied to study decomposition reactions of AP under a flowing nitrogen atmosphere and static air. Results obtained indicate that a phase transformation occurs prior to the decomposition reaction. Decomposition takes place exothermally in two stages, first stage of decomposition could be suppressed by the controlled heating programme. Addi...

a new modified adomian decomposition method (adm) is utilized to obtain an analytical solution for buckling of the nanocantilever actuators immersed in liquid electrolytes. the nanoactuators in electrolytes are subject to different nonlinear forces including ionic concentration, van der waals, external voltage and electrochemical forces. the duan–rach modified adomian decomposition method is ut...

In this paper, a Boussinesq equation is solved by using the Adomian's decomposition method, modified Adomian's decomposition method and homotopy analysis method. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods ...

In this paper, we present a comparative study between the Adomian decomposition method and two classical well-known Runge-Kutta and central difference methods for the solution of damped forced oscillator problem. We show that the Adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply. 

The Burgers’ equation is a simplified form of the Navier-Stokes equations that very well represents their non-linear features. In this paper, numerical methods of the Adomian decomposition and the Modified Crank – Nicholson, used for solving the one-dimensional Burgers’ equation, have been compared. These numerical methods have also been compared with the analytical method. In contrast to...

in this paper, a fuzzy hunter-saxton equation is solved by using the adomian'sdecomposition method (adm) and homotopy analysis method (ham). theapproximation solution of this equation is calculated in the form of series whichits components are computed by applying a recursive relation. the existenceand uniqueness of the solution and the convergence of the proposed methodsare proved. a nume...