Mathematical Modeling: With Applications in Physics, Biology, Chemistry, and Engineering, Edition-2

A mathematical model is an abstract model that describes the behaviour and evolution of a system using mathematical terminology. Mathematical models are frequently employed in a variety of scientific and technical domains (such as physics, biology, chemistry and engineering). Continuous time and discrete time dynamical systems (using differential equations and difference equations, respectively), statistical models, partial differential equations, and game theoretic models are all examples of mathematical models. Mathematical modelling plays a critical role in identifying problems that arise in our daily lives. Experimental data is commonly interpreted using mathematical and computational models. Models can also assist us in describing our thoughts about how various phenomena in the world operate. We strive to translate those beliefs and images into mathematical language through mathematical modelling. This transition is really advantageous. Math is, first and foremost, a precise and delicate language. Second, we may quickly create concepts and discover the fundamental assumptions. In mathematics, the controlled rules assist us in manipulating the problem. In a nutshell, we use results that have already been proven by mathematicians over hundreds of years in mathematical modelling. In order to do numerical simulations and calculations, computers are essential. Although many real-world systems are too complex to model, we may solve this problem by identifying the most significant aspects of the system and including them in the model, while leaving the rest out. The model equations and desired manipulations can then be handled via computer simulations.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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