CAJ | 학술논문

热传导方程是工程中很重要的偏微分方程，工程上利用它描述某个区域内的温度如何随时间变化，这种方程常被称作扩散方程。研究热传导方程的解具有很重要的意义。本文主要介绍解一维线性初边值热方程的分离变量法及其pdepe数值解法。结合实例讲述了如何用pdepe函数编程求解热传导方程。
열전도방정시공정중흔중요적편미분방정，공정상이용타묘술모개구역내적온도여하수시간변화，저충방정상피칭작확산방정。연구열전도방정적해구유흔중요적의의。본문주요개소해일유선성초변치열방정적분리변량법급기pdepe수치해법。결합실례강술료여하용pdepe함수편정구해열전도방정。
The heat conduction equation is an important partial differential equation in engineering, in which it is used to de-scribe how the temperature changes with time within a certain area, and such an equation is often called diffusion equation. It is of great significance to research the solving of the heat conduction equation. This paper mainly introduced the method of separation of variables for the solving of one-dimensional linear initial boundary value heat equation and the method of solving its pdepe numerical value. Combined with practical cases, this paper elab-orated how to use pdepe functional programming to solve heat e-quation.