A conservative and stable explicit finite difference scheme for the diffusion equation
2021
Abstract 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.
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