“MATHEMATICAL MODELING AND ALGORITHM DEVELOPMENT”

Abstract

This paper succinctly illustrates challenges encountered when modelling systems mathematically. Mathematical modelling entirely entails math symbols, numbers and relations forming a functional equation. These mathematical equations can represent any system of interests, also provides ease computer simulations. Mathematical models are extensively utilized in different fields i.e. engineering, by scientists, and analysts to give a clear understanding of the problem. Modelling contributed a lot since inversion of the concept. Simple and complex structures erected as a result of modelling. In that sense modelling is an important part of engineering. It can be referred to as the primary building block of every system. A complex model however is not an ideal solution. Engineers have to be cautious not to discard all information as this might render the designed model useless – as detailed in this paper the model should be simple with all necessary and relevant data. Basically the purpose of this paper is to show the importance and clearly explain in detail challenges encountered when modelling.