Use of Adomian decomposition method in the study of parallel plate flow of a third grade fluid

Analytical Solution of Non-Linear Equation in Multi-Phase Microchannel Bioreactors

“…In the recent years, much attention is devoted to the application of the Adomian decomposition method to the solution of various scientific models [9][10][11][12][13][14] which was introduced by Adomian [15,16].Recently Praveen and coauthor (2011)obtain the analytical expression of the oxygen concentration using Adomian decomposition method as follows:…”

Analytical Expression of Concentration Profiles of Methanol and Pinene in Air Stream and Bio-Film Phase

“…In order to control the emission of volatile organic compounds such as methanol and α-pinene from industries, biofilters are currently used instead of chemical complex absorption method [16][17][18][19][20][21]. Biofilters offer two major advantages for energy-starved countries, namely (i) Their power consumption is very low (1.8-2.5 Kwh/1000 m 3 ) compared with other technologies and (ii) Their capital and operating costs are low.…”

Application of He’s Method in Solving a System of Nonlinear Coupled Equations Arising in Non-Newtonian Fluid Mechanics

“…The method introduces an effective and easy to use process for a wide variety of nonlinear equations, avoiding the restrictions and limitations of perturbation techniques. A vast number of nonlinear problems arising in the flows of non-Newtonian fluids in different geometries have recently been treated by this method; see for instance [3][4][5][6][7] and the references therein. The objective of the present work is to extend homotopy perturbation method to solve a system of nonlinear equations that arises in the steady fully developed natural convection flow of a third grade fluid in a vertical channel.…”