Methods of Mathematical Modelling
Author | : Thomas Witelski |
Publisher | : Springer |
Total Pages | : 309 |
Release | : 2015-09-18 |
ISBN-10 | : 9783319230429 |
ISBN-13 | : 3319230425 |
Rating | : 4/5 (29 Downloads) |
Book excerpt: 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.