Liao Nizheng is one of the 2020/2021 outstanding graduates in the Department of Mathematics. His final year project is about heat conduction equation which covers its physical background, the derivation of mathematical model, the design and analysis of numerical method, as well as numerical experiments by coding the algorithm with C++ language. ‘Using the mathematical heat equation model, it can calculate the speed of iron heat transfer and air propagation (such as air-conditioning or heating). It can also calculate the duration of making a certain space cooler or warmer.’ Liao NiZheng explains. Through this research, the physical mechanism behind the heat equation is well understood, classical theoretical results related to heat equation, e.g., the stability and convergence are confirmed by the numerical results. The code developed in this work would be used for further study.
Liao NiZheng was first attracted by UM’s environment, and later he discovered the UM academic staff are knowledgeable and very professional. Liao NiZheng said that he has benefited a lot from cooperating with professors in his graduation project, and he also learned to complete an academic thesis independently. During the preparation process, ‘I have learned a lot about programming skills and physics knowledge that could be very useful in the future, and at the same time I have clarified many practical problems. These abilities are all improved through hands-on practices in this project.’ Liao NiZheng says. Four-year higher education in UM has also changed Liao NiZheng’s values and ways of doing things, he used to focus on the outcomes and only seek good grade in the exam. Now he pays more attention to the process and willing to explore more and find out the reasons behind, he is having a new understanding of not only Mathematics but also his own life. In the near future, he is going to study a master degree in UM and will continue his journey of exploration in Mathematics.
廖倪徵是2020/2021學年數學系優秀本科畢業生，經過學院的遴選，他的畢業設計作品獲選成為「最佳優秀作品項目」之一，他的作品是對數學熱傳導方程進行研究，研究內容包括其物理背景、數學模型的推導、數值方法的設計與分析，以及用C++語言編寫算法的數值實驗。廖倪徵解釋說:「利用氣體及固體的數學熱方程模形，可以計算到鐵傳熱及空氣傳播(如冷氣或暖氣) 的速度，例如需要多少分鐘才可以令一塊鐵提升至某溫度或多久可以令一間房間變冷或暖。」畢業設計作品為熱傳導方程背後的物理機制提供更好的理解。另一方面，與熱傳導方程相關的經典理論結果，例如穩定性和收斂性，也得到了數值結果的重新推導和證實, 而作品中開發的代碼將用於未來研究。