Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by the decomposition method

A numerical study on reaction-diffusion problem using radial basis functions

“…Now, consider one side of the slab as impermeable and the concentration is held fixed at the other side in [25]. The two boundary conditions, where l is catalyst pore length, are given by…”

“…As in [25], consider the reaction A −→ B, with the rate dependent on the nth power of the concentration of A, dependent upon by kc ′n , where the reaction constant k is a function of temperature. Now, to predict the overall reaction rate or the mass transfer in and out of the catalyst pellet, by changing the variable x = x ′ /l and f = c ′ /c ′ s , the following dimensionless equation is derived from Eqs.…”

“…In 2004, Sun et al in [25] posed the non-linear model of diffusion and reaction in porous catalysis, by employing the Adomian decomposition method. Later, Abbasbandy in [1] measured the model of the large Thiele modulus, using the homotopy analysis method.…”

Two dimensional analysis of coupled non-Fick diffusion-elastodynamics problems in functionally graded materials using meshless local Petrov–Galerkin (MLPG) method

“…An exact analytical solution was presented by Magyari [12,13] for analysis of linear or nonlinear reaction-diffusion in porous catalysts. Sun et al [14] studied on diffusion and reaction in porous catalysts by decomposition method and nonlinear model as an approximate solution.…”

Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method

“…Recently, the nonlinear model of diffusion and reaction in porous catalysts was considered by Sun et al [25], by using the Adomian decomposition method. This method is special case of HAM [1,15], which we show later.…”