1, analogy method, the process of mathematical modeling is to analyze, abstract and summarize the actual problems, and express them into mathematical problems with mathematical language, mathematical concepts and mathematical symbols. What kind of problems are expressed depends on the thinker's intention to solve the problems;

2. Dimensional analysis. Dimensional analysis is a method of establishing mathematical models in the field of physics proposed at the beginning of the 20th century. Based on experience and experiments, it uses the dimensional homogeneity of physical laws to determine the relationship between physical quantities.

3. Difference method. The mathematical idea of difference method is to use the difference quotient of function values on grid nodes instead of Taylor series expansion to disperse the derivatives in the control equation, thus establishing the equation with the values on grid nodes as unknowns;