ABSTRACT

In this article, we present a quadratic B-spline collocation method on an exponentially graded mesh for the solution of two-parameter singularly perturbed boundary value problems (TP-SPBVPs) whose solution exhibits twin boundary layers at both endpoints of the domain of consideration. The method is shown to be parameters uniformly convergent of order two. To verify the theoretical estimates and to show the better accuracy of the proposed method compared to the existing results, numerical experiments are presented for several test problems.

中文翻译：

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指数梯度网格上二参数奇异摄动问题的二次B样条搭配方法

摘要

在本文中，我们提出了一种在指数梯度网格上的二次B样条搭配方法，用于解决双参数奇异摄动边界值问题 (TP-SPBVP)，该问题的解决方案在考虑域的两个端点处均显示双边界层。该方法被证明是参数二阶一致收敛的。为了验证理论估计并显示所提出方法与现有结果相比更好的准确性，对几个测试问题进行了数值实验。