讨论奇摄动反应扩散方程 的数值逼近求解问题,
及 均为正实数. 利用有限元方法并结合最小残量法, 给出求解该问题的一个新方
法, 该方法修正了单纯采用有限元方法求解时在边界附近呈现出的非正常扰动的
现象, 避免了因为 过小所引起的解的变异, 从而得到更加精确的数值结果.

In this paper, we discuss the numerical solutions of singularly perturbed reaction diffusion equation , where both and are positive
constants. Based on the finite element method, we use the MINRES algorithm to
obtain numerical solutions of the equation. Our new approach corrects the spurious
oscillations in the presence of boundary layers of the original solutions.