数学物理方程中分离变量法教学初探

分离变量法是一种可用来求某些典型区域上定解问题精确解的经典方法。我们在教学过程中,引导学生将该方法推广到求解具有不同边界条件的热传导方程混合问题。通过这种教学方法,培养了学生发现问题、解决问题的能力,取得了较好的教学效果。

Method of separation of variables is a classical method which can be used to solve the exact solution for mixed initial-boundary value problem solution in some typical regions. In our teaching-learning process, we conduct students to generalized this method to solve the problem of heat conduction equation with different boundary conditions. Through this teaching method, the students can cultivate the ability to find problems and solve problems, and have better teaching effect.