Methods of Mathematical Modelling: Continuous Systems and Differential Equations
- ISBN-10
- 3319230425
- ISBN-13
- 9783319230429
- Category
- Mathematics
- Pages
- 305
- Language
- English
- Published
- 2015-09-18
- Publisher
- Springer
- Authors
- Mark Bowen, Thomas Witelski
Description
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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Other editions
-
- 2019-09-17
- 238 pages
- Ebook
- CRC Press
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