热传导方程有限容积法的MATLAB实现

Heat Conduction Equation Finite Volume Method to Achieve by MATLAB

基于有限容积法的核心思想,推出第二类边界条件下的热传导方程统一离散格式,利用MATLAB编程实现均匀厚度的无限大板瞬态传热分析,将方程的解用图形直观表示出来,解的数值和图形表明了方法的可行性和稳定性.

In this paper,the heat conduction equation of discrete region is deduced under Neumann boundary conditions based on finite volume method（FVM）.Transient heat conduction analysis of infinite plate with uniform thickness is realized by programming using MATLAB.It is useful to make the heat conduction equation more understandable by its solution,which images expression,and numerical method demonstrates the feasibility and stability.