A numerical scheme is constructed for the problems in which the diffusion and convection parameters (ϵ₁ and ϵ₂, respectively) both are small, and the convection and source terms have a jump discontinuity in the domain of consideration. Depending on the magnitude of the ratios , and two different cases have been considered separately. Through rigorous analysis, the theoretical error bounds on the singular and regular components of the solution are obtained separately, which shows that in both cases the method is convergent uniformly irrespective of the size of the parameters ϵ₁, ϵ₂. Two test problems are included to validate the theoretical results.

中文翻译：

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具有非光滑数据的两参数奇摄动问题的一致收敛方案

针对扩散和对流参数（分别为ϵ ₁和ϵ ₂）都较小，并且对流项和源项在考虑范围内具有跳跃不连续性的问题，构造了一个数值方案。根据比值的大小，和两个不同的案件已经分开考虑。通过严格的分析，分别获得了解的奇异和正则分量的理论误差界，这表明在两种情况下，该方法都是均匀收敛的，而与参数ϵ ₁，ϵ ₂的大小无关。包括两个测试问题以验证理论结果。