| Green function method is very important in the mathematics physics. With the developing of physics, the method is more and more important and it is used more and more widely. But it is difficult for student to learn Green function method. According to modern education and psychology principle, Green function method and the teaching of Green function method are researched and the difficulty in the Green function method is found in the article. Considering practical teaching, some ideas are brought forward in order to make teaching effect better.Because the questions of partial differential equations make Green function method studied difficultly for student, the variation of parameters formula and ordinary differential equation are put forward. Initial value of ordinary differential equation and the boundary value of ordinary differential equation are discussed. Green function with time and Green function without time are introduced and theirs equations and conditions are calculated. Then the property and physics meaning of Green function are discussed according to the results gained. As a result, the reasonability of Green function method is testified in mathematics and the idea and approach of Green function method are summed up. The idea and approach can extend to partial differential equations easily. How to solve the questions of mathematics physics with Green function method is clarified with several examples. Because Green function is pivotal in Green function method, several typical methods are introduced for solving Green function. The teaching of Green function method is from known to unknown and from plain to profound, which alleviates difficulty of student's studying and mastering Green function method and depresses the step of learning Green function method.The excellence and basic thinking of Green function method is shown because forced harmonic oscillator is discussed, further more, that the Green function method is used widely is clarified. |
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