Methods of Mathematical Modelling

Continuous Systems and Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Methods of Mathematical Modelling by Thomas Witelski, Mark Bowen, Springer International Publishing
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Author: Thomas Witelski, Mark Bowen ISBN: 9783319230429
Publisher: Springer International Publishing Publication: September 18, 2015
Imprint: Springer Language: English
Author: Thomas Witelski, Mark Bowen
ISBN: 9783319230429
Publisher: Springer International Publishing
Publication: September 18, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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