此篇論文提出兩套以變數變換方法為主架構之解法，針對一維之邊界條件具有時變型熱傳係數熱傳導問題求其解析解。一是廣義時變型熱傳係數分析方法，利用變數變換方法直接求解，且若熱傳係數為單調函數，則可快速求解。二是特定時變型熱傳係數分析方法，針對熱傳係數之函數值為有限區間，利用微擾法配合變數變換法進行求解。本文也將探討不同的時變型熱傳係數之系統特性。

This paper proposed two sets of solution which use the transformation of variable method be the primarily construction to analyze one-dimension heat conduction problem with time-dependent heat transfer coefficient. One solves directly using the transformation of variable method and if the time-dependent heat transfer coefficient is the monotonic function, then may solve fast. Another one uses the perturbation method coordination and change of variables to solve the problem when the time-dependent heat transfer coefficient is the non-radiation function. This article will also discuss each system of different time-dependent heat transfer coefficient.

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