Analytical Methods for Solving Nonlinear Partial Differential Equations (Synthesis Lectures on Mathematics & Statistics) - Softcover

Arrigo, Daniel

 
9783031170713: Analytical Methods for Solving Nonlinear Partial Differential Equations (Synthesis Lectures on Mathematics & Statistics)
Softcover
ISBN 10: 3031170717 ISBN 13: 9783031170713
Verlag: Springer, 2023

Inhaltsangabe

This textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include the following topics: Nonlinear PDEs are Everywhere; Differential Substitutions; Point and Contact Transformations; First Integrals; and Functional Separability. Readers are guided through these chapters and are provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs.

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Über die Autorin bzw. den Autor

Daniel Arrigo earned his PhD from the Georgia Institute of Technology in 1991. He has been on staff in the Department of Mathematics at the University of Central Arkansas since 1999 and is currently Professor of Mathematics. He has published over 30 journal articles and three books. His research interests include the construction of exact solutions of PDEs; symmetry analysis of nonlinear PDEs; and solutions to physically important equations, such as nonlinear heat equations and governing equations modeling of granular materials and nonlinear elasticity. In 2008, Dr. Arrigo received the Oklahoma-Arkansas Section of the Mathematical Association of America’s Award for Distinguished Teaching of College or University Mathematics and in 2019 the University of Central Arkansas’s Teaching Excellence Award.

Von der hinteren Coverseite

This textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include the following topics: Nonlinear PDEs are Everywhere; Differential Substitutions; Point and Contact Transformations; First Integrals; and Functional Separability. Readers are guided through these chapters and are provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs.


In addition, this book:

  • Presents analytical methods to solve nonlinear partial differential equations (NLPDEs)
  • Includes techniques for solving first and second order NLPDEs and provides interdisciplinary examples
  • Contains numerous exercises throughout to facilitate learning and has been class tested over the past 10 years

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Verlag
Springer
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3031170717
ISBN 13 
9783031170713
Einband
Tapa blanda
Auflage
2
Anzahl der Seiten
188
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783031170683: Analytical Methods for Solving Nonlinear Partial Differential Equations (Synthesis Lectures on Mathematics & Statistics)

Vorgestellte Ausgabe

ISBN 10:  3031170687 ISBN 13:  9783031170683
Verlag: Springer-Verlag GmbH, 2022
Hardcover