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Fourier series and numerical methods for partial differential equations / Richard Bernatz.

By: Bernatz, Richard, 1955-Material type: Text

TextPublisher: Hoboken, N.J. : Wiley, [2010]Copyright date: ©2010Description: 1 online resource (xiii, 318 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9780470651377; 0470651377; 0470651385; 9780470651384Subject(s): Fourier series | Differential equations, Partial -- Numerical solutions | Mathematics | Fourier, Séries de | Équations aux dérivées partielles -- Solutions numériques | MATHEMATICS -- Differential Equations -- Partial | Differential equations, Partial -- Numerical solutions | Fourier seriesGenre/Form: Electronic books.Additional physical formats: Print version:: Fourier series and numerical methods for partial differential equations.DDC classification: 515/.353 LOC classification: QA404 | .B47 2010ebOnline resources: Wiley Online Library

Contents:

Introduction -- Fourier series -- Sturm -- Liouville problems -- Heat equation -- Heat transfer in 1D -- Heat transfer in 2D and 3D -- Wave equation -- Numerical methods: an overview -- The finite difference method -- Finite element method -- Finite analytic method.

Summary: The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode
Ebooks	Mysore University Main Library		Not for loan		EBJW623

Includes bibliographical references (pages 311-313) and index.

Print version record.

The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens.

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