Mathematical model is a scientific or engineering model constructed by using mathematical logic method and mathematical language. According to the characteristics or quantitative dependence of something system, a mathematical structure is generally or approximately expressed by mathematical language. This mathematical structure is a pure relational structure of a system characterized by mathematical symbols.

Mathematical modeling is to establish a mathematical model according to actual problems, solve the mathematical model, and then solve the actual problems according to the results.

2. The research direction is different.

Mathematical modeling: When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and languages to establish a mathematical model on the basis of in-depth investigation, understanding of object information, making simplified assumptions and analyzing internal laws.

Mathematical model: the content of expression can be quantitative or qualitative, but it must be reflected in a quantitative way. Therefore, the operation mode of mathematical model method is biased towards quantitative form.

3, the foundation is different.

Mathematical modeling: it is a science that studies the quantitative relationship and spatial form in the real world. In the long history of its emergence and development, it has always been closely related to various application problems. The characteristics of mathematics lie not only in the abstraction of concepts, the rigor of logic, the clarity of conclusions and the integrity of systems, but also in the universality of applications.

Mathematical model: The essential things and their relations should be reflected in the model, and the non-essential things that have little effect on reflecting the objective truth should be eliminated, so that the model can be as simple and operable as possible while ensuring a certain accuracy, and the data can be easily collected.

Extended data:

Requirements of mathematical model

1, true, systematic and complete, and the image reflects the objective phenomenon;

2) It must be representative;

3) Extrapolation, that is, the information of the prototype object can be obtained, and the reasons about the prototype object can be obtained in the process of model research and experiment;

4) It must reflect the various achievements made in completing the basic tasks and should be consistent with the actual situation.

Baidu Encyclopedia-Mathematical Modeling

Baidu Encyclopedia-Mathematical Model