Second-Order Accurate Difference Schemes on Highly Irregular Meshes

摘要

In this paper compact-as-possible second-order accurate difference schemes will be constructed for boundary-value problems of arbitrary order on highly irregular meshes. It will be shown that for equations of order (K) these schemes will have truncation error of order (3-K). This phenomena is known as supraconvergence. 7 refs. (ERA citation 13:052917)