@inbook{a1f63eeaf19949898da44624f15a0044,
title = "Mathematical Modelling",
abstract = "Chapter 1 is a condensed overview of a raft of techniques which are used in applied mathematics in studying natural phenomena. The chapter focusses on phenomena which occur in continuous systems, modelled by differential equations. Non-dimensionalisation and scaling are treated. For ordinary differential equations, oscillations, hysteresis and resonance are discussed; for partial differential equations, topics covered are waves, nonlinear diffusion, blow-up and reaction–diffusion equations.",
keywords = "Periodic Solution, Similarity Solution, Solitary Wave, Travel Wave Solution, Wave Train",
author = "Andrew Fowler",
note = "Publisher Copyright: {\textcopyright} 2011, Springer-Verlag London Limited.",
year = "2011",
doi = "10.1007/978-0-85729-721-1_1",
language = "English",
series = "Interdisciplinary Applied Mathematics",
publisher = "Springer Nature",
pages = "1--63",
booktitle = "Interdisciplinary Applied Mathematics",
}