本篇論文簡介徑向函數配置法,並用此方法求解奇異擾動偏微分方程。在文章的最後,提供幾個數值結果,當奇異擾動偏微分方程的參數等於10的負7次方。

In this thesis, we integrate the particular solutions of singularly perturbed partial differential equations into radial basis collocation method to solve two kinds of boundary layer problem.

Chap 1. Introduction
Chap 2. Radial Basis Collocation Method
Chap 2.1. Description of Radial Basis Collocation Method
Chap 2.2. Erroe Estimation
Chap 3. Numberical Experiment
Chap 3.1. Model I
Chap 3.2. Model IA
Chap 3.3. Model IB
Chap 3.4. Model II
Chap 3.5 The Schwartz Alternating Method
Chap 3.6 The Combined Method
Chap 4. Conclusion

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