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Mathematical Modelling

  • Andrew Fowler
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 36)

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 Solitary Wave Similarity Solution Travel Wave Solution Wave Train 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.MACSI, Department of Mathematics & StatisticsUniversity of LimerickLimerickIreland

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