What research designs used on mathematical modelling?

[HAgdn]

I am currently conducting a study that proposes a mathematical model.

"mathematical model (n): a representation in mathematical terms of the behavior of real devices and objects."[1]​

The study composes of:

AIM of the study: Create a mathematical model that represents a phenomena or happening that is at least generally applicable.

1. Knowing the system and what observations can be taken.
2. Creating and Appropriate mathematical model.
3. The reasoning and logic behind creating the model.
4. Supporting facts/laws that help in creating the model
5. Concluding Why the proposed mathematical model has potential in terms of practical application.
~~~~THE END~~~~

[1] https://www.sfu.ca/~vdabbagh/Chap1-modeling.pdf (page 4)

Any appropriate research design basing from the purpose and steps taken to conduct such study?

 

[fresh_42]

What do you mean? Are you talking about what would I call a physical theory like general relativity, or about a mathematical model within logic? What is the object you want to consider, and what is its purpose?

Otherwise: The harmonic oscillator is a very famous example.

 

[BvU]

Looks as if you don't want to do the exercise and want someone else to do it for you ? I must be mistaken !

Nevertheless, PF is always there for you to help, especially with specific questions !