Adomian Decomposition Method

In this chapter, Adomian decomposition method is introduced to solve two singular nonlinear boundary values problems of ordinary differential equations arising in flow and heat transfer of power law non-Newtonian fluids over a continuous moving surface with injection or suction velocity at surface, power law magnetohydrodynamic fluid flow over a horizontal wall with power law velocity, and Marangoni convection problem over a fluid-gas free surface due to an imposed temperature gradient. Approximate analytical solutions are obtained and the effects of involved parameters on the boundary layer behavior are analyzed and discussed.