本文運用微分轉換法結合有限差分混合法應用於考慮一維、二維邊界下求解雙曲線型熱傳導問題。文中首先介紹微分轉換理論的基本定義、性質及演算方法，接著介紹此法混合有限差分法在各種熱傳導問題上的應用。
　　研究結果顯示運用微分轉換混合有限差分法可應用於求解雙曲線型一維及二維之熱傳導問題，並均得到良好的模擬結果。經由選取一適當的差分格點數後將能有效抑制位於熱傳波前陡峭不連續處的數值振盪現象發生。一般說來，使用微分轉換法進行模擬求解與其他方法相比較所需的運算處理時間較為短暫。有別於以往運用積分運算求解的方法，以微分轉換法求解各類熱傳導問題省去了冗長及繁雜的變換程式，不僅顯得簡易且將更具系統性。
　　為了更貼近熱在生體內的熱傳情形，因此考慮鬆弛時間，此效應可將熱傳遞視為具有波的性質之熱波波傳，此傳遞方向與皮膚表面垂直，且具有一有限速度。

　　In this research, the hybrid method which combines　differential transformation and finite difference approximation techniques was employed to solve hyperbolic heat conduction problems in one and two dimensions.
The basic definitions and properties of the differential transformation method were introduced briefly and the applications of this method on the heat conduction problems were displayed later.
　　The results of this research show that the hybrid method of differential transformation and finite difference methods can be used to solve the hyperbolic heat conduction problems for good results whether in one and two dimensions. The oscillations which arise in the vicinity of sharp discontinuities can be successfully suppressed by calculating with an appropriate number of grids. In usual case, applying the hybrid method on the simulation procedure consumes less CPU time as compared with other methods. Unlike other integral transform methods, using the differential transform to solve heat conduction problems leaves out the copious and complex transform procedure and appears not only brief but also more systematical.
　　In order to conform the real thermal behavior in a living tissue subjected to constant or exponential surface heatings with the thermal wave model of bioheat transfer, we consider a relaxation time.　Due to the effects of relaxation time, the heat transfer has a phenomenon of wave-like propagation in a finite velocity.　The attention paid on the cases that heat mainly propagates in the direction perpendicular to the skin surface.

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