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...
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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.
This paper is concerned with the finite element scheme and the alternating direction finite element scheme for some nonlinear reaction - diffusion systems with the second or the third boundary value conditions. Not on...
详细信息
This paper is concerned with the finite element scheme and the alternating direction finite element scheme for some nonlinear reaction - diffusion systems with the second or the third boundary value conditions. Not only the existence and uniqueness of solutions for these approximational schemes are obtained, but also the optimal H1 - norm and L2- norm error estimate results are demonstrated.
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