A numerical scheme for solving special class of nonlinear diffusion-convection equation
The nonlinear diffusion-convection equations arising from the theory of transport in porous media is analyzed. The problem under analysis has the [email protected][email protected][email protected][email protected]?zD(c)@[email protected]?z-K(c),where D(c)=D"0c^m/(1-vc)^m^+^2 and K(c)=K"0c^m^+^2/(1-vc)^m^+^1. The behavior of solutions when m>1 and 00. Numerical and analytical results compared for the cases m=0,1 and numerical results for m=2 and m=0.5 are stated.