Methods of Mathematical Modelling: Continuous Systems and Differential Equations


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.

Full Text

Duke Authors

Cited Authors

  • Witelski, T; Bowen, M

Published Date

  • September 18, 2015

Start / End Page

  • 1 - 305

International Standard Book Number 13 (ISBN-13)

  • 9783319230412

Digital Object Identifier (DOI)

  • 10.1007/978-3-319-23042-9

Citation Source

  • Scopus