Friday, 22 March 2013

Mathematical Modeling


Mathematical Modeling is information of a program using mathematical ideas and language. Mathematical models are used not only in the natural sciences and technological innovation professions but also in the social sciences, physicists, technicians, statisticians, research experts and economic experts use mathematical designs most substantially. 

A model may help to describe a program and to study the effects of different elements, and to make forecasts about behavior. Mathematical model can take several types, but not restricted to dynamical systems, differential equations, or game theoretic designs. These and additional types of models can overlap, with a specified model along with a variety of subjective elements. In general, mathematical models may include sensible designs, as far as reasoning is taken as a part of mathematics.

Principles of Mathematical Modeling:

Mathematical modeling is a principled action that has both principles behind it and techniques that can be efficiently used. The concepts are over-arching or meta-principles phrased as concerns about the objectives and reasons of mathematical modeling. In characteristics meta-principles are almost philosophical .We will now summarize the concepts, and in the next area we will temporarily evaluation some of the techniques.

Initially recognize the need for the model and next find Record the information we are looking for. Then recognize the available appropriate information. Then assume and recognize the conditions that implement. Then recognize the governing physical concepts. We have to predict the equations that will be used, the computations that will be created, and the solutions that will result. The model predicts assessments that can be made to confirm the model, i.e., is it reliable with its concepts and assumptions. Finally verify the assessments that can be made to confirm the design, i.e., is it useful with regards to the preliminary purposes it were done.

Mathematical modeling is an activity or process that allows a mathematician to be a drug store, an ecologist, an economist, a physiologist etc.