CAJ | 학술논문

为了求解不规则区域问题以及内部层的问题,讨论了一种基于最高阶导数插值逼近的Sinc有理插值方法.同时,给出了有理Sinc-barycentric插值公式,它可以有效地处理不规则区域上的混合边界条件.通过引入一个坐标变换,该方法被成功地应用于求解内层问题.数值实验证明该方法是有效的.
위료구해불규칙구역문제이급내부층적문제,토론료일충기우최고계도수삽치핍근적Sinc유리삽치방법.동시,급출료유리Sinc-barycentric삽치공식,타가이유효지처리불규칙구역상적혼합변계조건.통과인입일개좌표변환,해방법피성공지응용우구해내층문제.수치실험증명해방법시유효적.
A rational Sine method based on the interpolation of the highest derivatives （RSIHD） is discussed in this paper to deal with interior layer problems and problems defined in irregular domains.A new formula is derived which is named the rational Sinc-barycentric interpolation to solve some problems with mixed nonhomogeneous boundary conditions and problems on irregular domains.Furthermore, a new transformation is applied in the RSIHD.Using this transformation,the RSIHD can deal with problems with an interior layer efficiently.Some numerical examples are given to verify the new method.