偏微分方程的MATLAB解法

MATLAB Solution partial differential equations

一般来说,在实际中偏微分方程的通解是不容易求出的,用定解条件确定函数更是比较困难。本文在运用MATLAB解偏微分方程时,列出两种方法:pdepe函数和PDE工具箱,并应用实例展现出两种方法的实现过程。结果表明:MATLAB对解偏微分方程带来极大的方便,并且在此基础上可以解决更多更复杂的问题。

Generally speaking,in practice,the general solution of partial differential equations is not easy to find,and use the boundary conditions to determine the function is more difficult.This articl using MATLAB for solving partial differential equations,two methods are listed：pdepe function and the PDE Toolbox.On the basis of describing the two methods in detail,this article uses examples to show the realization in two ways.The results showed that：MATLAB brings great convenience on the solutions of partial differential equations,on this basis,it can solve more complex issues.