In this paper, a nonlinear singularly perturbed problem with an integral boundary condition is studied. A hybrid finite difference method based on the midpoint difference scheme and the upwind difference scheme is constructed. An adaptive grid generation algorithm is generated by equidistributing a monitor function. The convergence analysis of the hybrid difference method on the adaptive grid is derived. It is proved by theory and experiments that the scheme is second-order uniformly convergent, which improves previous results.

中文翻译：

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具有积分边界条件的非线性奇摄动问题的二阶自适应网格方法

本文研究了具有积分边界条件的非线性奇摄动问题。构建了基于中点差分方案和迎风差分方案的混合有限差分方法。通过均衡分配监视函数来生成自适应网格生成算法。推导了混合差分法在自适应网格上的收敛性分析。理论和实验证明该方案是二阶均匀收敛的，改进了以前的结果。