Mathematical Modelling

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


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.


Periodic Solution Solitary Wave Similarity Solution Travel Wave Solution Wave Train 
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© Springer-Verlag London Limited 2011

Authors and Affiliations

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

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