Both “modelling” and “modeling” are spellings of the same word, which means to create a representation or simulation of something using a model. The difference between the two spellings is simply a matter of regional variation, with “modelling” being the British English spelling and “modeling” being the American English spelling.

Meaning of Modelling

The act of creating a representation or simulation of something using a model. In the word modelling double “L” will be used. It can refer to the creation of physical models or computer simulations. 

In British English, this spelling is more commonly used. It can be used as a verb or an adjective. 

Modelling adheres to the consonant doubling standards of British English. For example, cancelled, travelling, tagged, and so on. 

Examples

1. The artist spent hours modelling a sculpture out of clay.
2. The engineers used computer modelling to simulate the behavior of the bridge under different loads.
3. The architect spent weeks modelling a 3D representation of the building before construction began.

Meaning of Modeling

The same act of creating a representation or simulation of something using a model but spelled using American English conventions.  

In this word modeling single “L” is used. This can also refer to the act of posing for photographs or other visual depictions.  As a verb, modeling is the present participle of model, which has several meanings.

Examples:

1. The fashion model spent the day modeling a new line of designer clothing.
2. The aspiring actress moved to Hollywood to pursue a career in modeling and acting.

Tabular Difference Between modelling and modeling

Conclusion:

In conclusion, both “modelling” and “modeling” are correct spellings of the same word, which refers to the process of creating a model or representation of something. The choice between the two spellings is largely a matter of regional convention or personal preference.