A nonlinear reaction–diffusion process using the Adomian decomposition method

A nonlinear ordinary differential equation with homogeneous Dirichlet boundary conditions describes a steady-state reaction–diffusion process with a nonlinear power-law heat source. In this paper, the solution is obtained using the Adomian decomposition method. The convergence of the method is investigated for several nonlinear sources involving integer positive, negative, decimal, and radical powers of the temperature.