In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C² continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly per-turbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd order NSPBVP arising from combustion, chemical reactor theory, nuclear engi-neering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation.

中文翻译：

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六点细分方案及其在二阶非线性奇摄动边值问题求解中的应用

在本文中，我们首先提出了一种六点二进制内插细分方案（BISS），该方案可生成C ²连续曲线和四阶逼近。然后，作为该方案的应用，我们开发了一种迭代算法来求解二阶非线性奇异摄动边值问题（NSPBVP）。还提出了迭代算法的收敛性。由燃烧，化学反应堆理论，核工程学，控制理论，弹性和流体力学产生的二阶NSPBVP可以通过四阶近似的迭代算法求解。