Methods of Mathematical Modelling: Continuous Systems and Differential Equations
Springer | Mathematics | October 18, 2015 | ISBN-10: 3319230417 | 305 pages | pdf | 5.3 mb
by Thomas Witelski (Author), Mark Bowen (Author)
Provides a self-contained and accessible introduction to mathematical modelling using ordinary and partial differential equations
Presents key approaches for formulating models and solution techniques via asymptotic analysis
Includes many challenging exercises and connections to classic models in applied mathematics including the Burgers equation, the Korteweg de Vries equation, Euler-Lagrange equations, pattern formation via Turing instabilities
Demonstrates a variety of solution techniques including boundary layer theory, self-similar solutions, fast/slow dynamical systems, and multiple scale analysis