The object of this thesis was the study of a differential geometry for a Hausdorff space endowed with an affine linear connection and a non-holonomic linear connection.

• 本文运用微分转换法结合有限差分法于考虑规则外型与不规则外型边界下求解非线性及非均质热传导问题。同时，亦运用微分转换法结合有限差分法于求解双曲线型热传导问题。