This is actually the difference between mathematics and physics. Mathematics and physics are closely related. Many models cannot be simply described as physical or mathematical models. Of course, the mathematical model is more pure and abstract. The general idea of natural science research can be said to be to establish a physical model first, then abstract it into a mathematical model, and then reflect the physical meaning in turn by the solution results, and then get the practical meaning.

According to the research object, the model represented by the mathematical formula outlined according to a certain physical thought seems to be the so-called physical model in the physical reference book.

In engineering books and materials, everything expressed by mathematical formulas is called a mathematical model, and even models established by physical ideas are also called mathematical models, such as Newton's second law, ohm's law.