ENGLISH

Methods of Mathematical Modelling: Continuous Systems and Differential Equations

By Thomas Witelski , Mark Bowen

Book information

Publisher
Springer
Year
2015
ISBN
3319230417, 9783319230412
DOI
10.1007/978-3-319-23042-9
Language
english
Format
PDF
Filesize
5 MB (5571516 bytes)
Series
Springer Undergraduate Mathematics Series
Edition
1st
Pages
305\309
Topic
Education
Time added
2015-10-02 20:40:02
Ordinary Differential Equations; Partial Different

Description

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.

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