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The Truncation Error and Correction Algorithm of the Support-Operator

For the definition of heterogeneous and non-isotropic medium diffusion equation, we have established a finite-difference algorithm for the numerical solution of diffusion problems. This algorithm not only applies to the convex meshes, but also applies to the concave grid or self-AC grid. The performance of this algorithm is comparable to other algorithms for problems with smooth coefficients and regular grids, but it is superior to the problems with rough coefficients and no-skewed grids. We will discuss the truncation error and correction algorithm of the support-operator in this article.