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Analytical Methods for Solving Nonlinear Partial Differential Equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Analytical Methods for Solving Nonlinear Partial Differential Equations/ by Daniel Arrigo.
作者:	Arrigo, Daniel.
面頁冊數:	XII, 174 p. 3 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-031-17069-0
ISBN:	9783031170690

Analytical Methods for Solving Nonlinear Partial Differential Equations
Arrigo, Daniel.

Analytical Methods for Solving Nonlinear Partial Differential Equations[electronic resource] /by Daniel Arrigo. - 2nd ed. 2022. - XII, 174 p. 3 illus., 2 illus. in color.online resource. - Synthesis Lectures on Mathematics & Statistics,1938-1751. - Synthesis Lectures on Mathematics & Statistics,.

Nonlinear PDEs are Everywhere -- Differential Substitutions -- Point and Contact Transformations -- First Integrals -- Functional Separability. .

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.

ISBN: 9783031170690

Standard No.: 10.1007/978-3-031-17069-0doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.35

Analytical Methods for Solving Nonlinear Partial Differential Equations
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