In this paper, the difference method for the equation of filtration type with convection is considered. The explicit scheme with artificial viscosity is given, then the convergence of the difference solution is proved...In this paper, the difference method for the equation of filtration type with convection is considered. The explicit scheme with artificial viscosity is given, then the convergence of the difference solution is proved by the method of discrete functional analysis. Meanwhile, the existence of the weak solution of the differential equation is obtained. At last, the numerical examples reveal the important properties of the solution to the equation of filtration type.展开更多
文摘In this paper, the difference method for the equation of filtration type with convection is considered. The explicit scheme with artificial viscosity is given, then the convergence of the difference solution is proved by the method of discrete functional analysis. Meanwhile, the existence of the weak solution of the differential equation is obtained. At last, the numerical examples reveal the important properties of the solution to the equation of filtration type.
