A conservative and stable explicit finite difference scheme for the diffusion equation

초록

In this study, we present a conservative and stable explicit finite difference scheme for the heat equation. We use Saul'yev-type finite difference scheme and propose a conservative weighted correction step to make the scheme conservative. We can practically use about 100 times larger time step than the fully Euler-type explicit scheme. Computational results demonstrate that the proposed scheme has stable and good conservative properties.

키워드