曲边区域内对流扩散奇异摄动问题的一致差分解法

本文构造并讨论了凸曲边区域内对流扩散奇异摄动问题的差分格式及其解的一致收敛性,并证明了解的一致收敛阶为O(hβ+τβ/2)(0<β<1/2)。其中h,τ分别为空间和时间方向的网格步长。

Uniformly Convergent Difference Method for the Convection-Diffusion Singular Perturbation Problem in a Curved Boundary Region

In this paper we construct a difference scheme for the convection-diffusion.singular perturbation problem in a convex curved boundary region, and discuss the uniform convergence of its solution. We have proved that the, order of uniform convergence of its solution is O(hβ+τβ/2)(0<β<1/2),where h,τ are the mesh steps in the space and time directions respectively.