中速震波存在的問題,從觀察到理論都是一個懸而未決的問題。在本論文中,我們著眼於中速震波的穩定性之模擬與理論的探討。首先,我們找出四種類型的中速震波,分析四種類型中速震波與上游參數的關係,接著分析這四類型中速震波在MHD碼的穩定性,除了IS 2-3外,IS 2-4、IS 1-4、IS 1-3都是穩定的。最後一部份是中速震波穩定性的混合碼數值模擬研究,發現只剩下IS 1-3會穩定存在,其餘三種中速震波皆不穩定,我們需要更強而有力的理論依據和更多的太空觀測資料,來幫助數值模擬的研究。 The problem of the existence of intermediate shock (IS), this is an unsolved problem based on the observed data and theoretical model. In this thesis, we focus on the stability of the IS using the plasma simulation study. First, We calculate the upstream parameters for different IS by theoretical model, then we created four kinds of IS. Secondary, we simulate and analyze the stability of each kind of the IS in MHD code. The results show that all modes of the IS are stable except of the mode IS 2-3. The last part is to study the stability of the IS in hybrid code. We found that only IS 1-3 can be stable. We must have advanced theoretical model and much more space observed data to help our research of