American Review of Mathematics and Statistics

A Dimensionless Mathematical Model
David S. Torain II

Abstract
This mathematical model reduces to a set of parametric coupled non-linear differential equations. The major difficulty stems from the fact that sixteen external parameters appear in various places in the equation. As of today, only numerical methods have been developed to investigate this problem. A new approach that is analytical and not numerical is proposed to show other options for solutions. This approach is called “Dimensionless Analysis” and it is based on the remark that when one of sixteen parameters is going to infinity, the general solution, involving the remaining fifteen parameters can be expressed in terms of a simple elementary function.

Full Text: PDF     DOI: 10.15640/arms.v2n2a1