Methods of Mathematical Modelling
Continuous Systems and Differential Equations| By: | Thomas Witelski; Mark Bowen |
| Publisher: | Springer Nature |
| Print ISBN: | 9783319230412 |
| eText ISBN: | 9783319230429 |
| Edition: | 0 |
| Copyright: | 2015 |
| Format: | Page Fidelity |
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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.