全息超導體的初期研究一般只考慮不含時演化的狀況。而我們能夠得知的資訊只有最後的穩定態,中間任何演化的過程都是未知的。為了實際應用,必須能處理更廣泛的例子。而接著的研究是含時演化的全息超導體。這篇論文我模擬了兩個例子,均相的超導體與約瑟夫結,還有這兩者的演化結果與不含時方法的結果比較。;In early research, the holographic superconductor was only considered time independent cases. The result we can get from the simulation is the static state, and the dynamical process is invisible. For practical applications of the theory, more general cases should be considered. The following research is going to study time dynamics in the holographic superconductor. In this thesis, I simulated two cases, homogeneous superconductors and the Josephson junction, and compared the time evolution result with the static result.