As a mathematical thinking method, mathematical modeling is a powerful mathematical means to approach and solve practical problems through abstraction by using mathematical language and methods.
Mathematical modeling is a process of describing actual phenomena with mathematical language. The actual phenomena here include both concrete natural phenomena, such as free fall, and abstract phenomena, such as customers' value tendency to a certain commodity. The description here includes not only the description of external form and internal mechanism, but also the prediction, experiment and explanation of actual phenomena.
Extended data
modeling process
1, model preparation
Understand the actual background of the problem, clarify its practical significance, and master all kinds of information of the object. The essence of the problem is contained in mathematical thought and runs through the whole process of the problem, and then the problem is described in mathematical language. Requirements in line with mathematical theory, in line with mathematical habits, clear and accurate.
2. Model assumptions
According to the characteristics of the actual object and the purpose of modeling, the problem is simplified with accurate language and some appropriate assumptions are put forward.
3. Model structure
On the basis of assumptions, use appropriate mathematical tools to describe the mathematical relationship between variables and constants, and establish the corresponding mathematical structure (try to use simple mathematical tools).
4, model solving
Using the obtained data, all parameters of the model are calculated (or approximately calculated).
5. Model analysis
The idea of establishing the model is expounded, and the results are analyzed mathematically.
6. Model test
The model analysis results are compared with the actual situation to verify the accuracy, rationality and applicability of the model. If the model is in good agreement with the actual situation, the practical significance of the calculation results should be given and explained. If the model is not consistent with the actual situation, it is necessary to modify the assumptions and repeat the modeling process.
Baidu Encyclopedia-Mathematical Modeling
Baidu Encyclopedia-Practical Mathematical Modeling and Software Application