摘要
热传导方程是一种偏微分方程。对于有界热传导齐次方程的混合问题,用分离变量法求解往往很复杂,也很抽象。为了更好的理解方程的解,更直观的看出它的物理意义,本文用Maple软件将方程的解用图像表示出来。先用pdsolve函数求解方程,再用Plot3d函数进行绘图,通过改变边界条件,比较了图形的变化情况。从结果可以看出Manle软件对于热传导方程求解和绘图十分简便,也很直观。在物理教学中可以得到很好的应用。
Heat Flow Equation is a Diomeusional Partial Differential Equation. Separation of variables is often used to solve the problem of homogeneous Heat Flow equation. The solution is complex and abstract. The solution of the equation is simulated by Maple software so that the solution and the physical meaning of the equation can be understood more clearly and directly .Pdsolve function is used to solve the equation;and plot3d function is used to plot the graph.BoUndary condition can be changed, then we have compared the graphs, h can be found that it＇s very easy and directly to solve the Heat Flow Equation and simulate the solution of the equation using the soft. h can be got a good application in the physic teaching.
出处
《大学物理实验》
2008年第1期94-97,共4页
Physical Experiment of College
