奇异摄动问题的移动网格算法

The Moving Mesh Algorithm of Singular Perturbation Problem

摘要: 我们使用移动网格法求解奇异摄动两点边值问题，首先给出问题的差分格式，然后根据等分布原理选取控制函数，给出算法，最后通过求解奇异摄动问题的两个实例来验证这个方法的准确性和有效性。结果表明：使用移动网格法进行计算，CPU运行时间很短并能根据误差来调节网格的分布。

Abstract: In the paper, we use moving mesh method for solving singular perturbed two-point boundary value problem, First, the problem is given difference scheme, and then select the control functions and give algorithm, at last two instances are computed to verify the accuracy and effectiveness of this approach. The results show that: when this method was used, CPU run time became very short and the distribution of grid could be adjusted according to errors.