论文标题

使用shishkin网格在计算上解决Hemker问题的数值算法

A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes

论文作者

Hegarty, Alan F., O'Riordan, Eugene

论文摘要

提出了一种数值算法来解决Hemker提出的基准问题。该算法将渐近信息纳入适当的分段 - 均匀的Shishkin网眼的设计。此外,由于此问题所涉及的不同几何形状和相关的层结构,因此使用了不同的坐标系统。提出了数值结果以证明所提出的数值算法的有效性。

A numerical algorithm is presented to solve a benchmark problem proposed by Hemker. The algorithm incorporates asymptotic information into the design of appropriate piecewise-uniform Shishkin meshes. Moreover, different co-ordinate systems are utilized due to the different geometries and associated layer structures that are involved in this problem. Numerical results are presented to demonstrate the effectiveness of the proposed numerical algorithm.

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