In this paper, the homogeneous type fitted difference scheme for solving singularly perturbed problem depending on a parameter with integral boundary condition is proposed. We prove that the method is \(O(N^{-2}\ln N)\) uniform convergent on Shishkin meshes. Numerical results are also presented.

中文翻译：

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具有初始边界的整体边界条件的参数化问题的拟合二阶差分方法

提出了一种基于积分边界条件的奇异摄动差分方案，用于求解奇异摄动问题。我们证明该方法在Shishkin网格上是\（O（N ^ {-2} \ ln N）\）均匀收敛。数值结果也被提出。