%0 Journal Article %T A numerical study of the mathematical model of flow in the petroleum reservoirs %A P. Reihani Ardabili %J Applied Mathematics and Computational Intelligence %D 2013 %I Universiti Malaysia Perlis %X This paper concerns with the solution of a nonlinear, degenerate, convection-diffusion problem describing two-phase flow in porous media. A numerical procedure based on decomposition scheme is developed to solve the proposed problem. For illustration purpose, two test problems are considered and their series and exact solutions are compared. %K Petroleum reservoirs %K Porous media %K Diffusion equation %K Adomian decomposition method %U http://amci.unimap.edu.my/Vol_2_1_2013/01.html