Mathematics idea - Assignment Example

Extra Credit: Errors in Mathematical Models Question: Describe the error of this mathematical model. (No more than two pages.)Solution Evidently, mathematical models, regardless of their simplicity, may at times be incorrect or inaccurate. The above mathematical model is an example of such scenarios; the model is simple but incorrect or inaccurate. As a result, many mathematical models have errors that lead to either incorrect or inaccurate solution. The three main sources of error experienced in mathematical modeling are formulation, numerical, and data errors (Meyer 127).

Whereas the formulation error consists of non-inclusion of some specific physics and inaccurate constitutive relationships, the numerical errors may be due to algorithm, discretization, or type of boundary. Lastly, data error results from measurements, analysis techniques, or interpretation (Meyer 128). In the above scenario, there are both formulation and numerical errors. The formulation error is evident in the assumptions made during the modeling of the concept. For instance, the modeling assumes that in every century there are only 4 generations, that is, children are born after every 25 years.

This is an incorrect and inconsistent assumption leading to the formulation error within the model. Moreover, the model assumes that in as much as there are various generations, each generation had given birth to other generations. This is another incorrect and inconsistent assumption. In respect to the numerical errors, the above model does not have a consistent and accurate domain selection. The selection of the domain has been significantly influenced by the end result of the model and not the accurate steps required.

Therefore, in this model, it is the end justifying the means and not the means justifying the end. These two errors make the mathematical model to be inaccurate and/or incorrect. Works CitedMeyer, Walter J. Concepts of mathematical modeling. Courier Dover Publications, 2012.