Mathematical Modeling: With Applications in Physics, Biology, Chemistry, and Engineering | Book Publisher International

A mathematical model can be described as an abstract model that describes a system’s behaviour and evolution using mathematical language. In several different science and engineering fields (such as physics , biology , chemistry and engineering), mathematical models are commonly used. Mathematical models may have several different types, including continuous time and discrete time dynamical systems, statistical models, partial differential equations, or game theoretical models (using differential equations and difference equations, respectively). In discovering the problems that arise in our everyday lives, mathematical modelling has an significant role. Mathematical and computer models have also been used to assist in the analysis of experimental evidence. Models may also help explain our beliefs on how various phenomena work across the world. We try to convert those convictions and images into the language of mathematics in mathematical modelling. This transition is very significant. Advantageous. Mathematics is, first of all, an exact and delicate language. Second, we can formulate ideas quickly and evaluate the basic assumptions as well. In Mathematics, the controlled rules enable us to manipulate the problem. Strongly speaking, we are using the results that mathematicians have already demonstrated for hundreds of years in mathematical modelling. In conducting numerical simulations and calculations, computers play an important role. Although many processes in the real world are too complex to model, by defining the most critical parts of the system and only including them in the model, we can solve this problem, but the rest would be omitted. Computer simulations can then be implemented to handle the model equations and manipulations desired.

Author (s) Details

Tahmineh Azizi
Department of Mathematics, Kansas State University, USA.

Bacim Alali
Department of Mathematics, Kansas State University, USA.

Gabriel Kerr
Department of Mathematics, Kansas State University, USA.

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