Methods of Mathematical Modelling

Methods of Mathematical Modelling

Written by: Thomas Witelski

  • Publisher: Springer
  • Publish Date: 2015-09-18
  • ISBN-10: 9783319230429
  • ebook-methods-of-mathematical-modelling.pdf

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Book Summary

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

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