Traveling Wave Analysis of Partial Differential Equations : Numerical and Analytical Methods with Matlab and Maple

Schiesser, William E., Griffiths, Graham

ISBN 10: 0123846528 / ISBN 13: 9780123846525

Editore: Elsevier Science & Technology, 2011

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Ships from the UK. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Codice articolo 52015789-20

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Titolo: Traveling Wave Analysis of Partial ...

Casa editrice: Elsevier Science & Technology

Data di pubblicazione: 2011

Legatura: Rilegato

Condizione: Very Good

Edizione: 1st Edition.

Descrizione articolo

Riassunto:

Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods.

This book surveys some of these new developments in analytical and numerical methods, and relates the two through a series of PDE examples. The PDEs that have been selected are largely "named'' since they carry the names of their original contributors. These names usually signify that the PDEs are widely recognized and used in many application areas. The authors’ intention is to provide a set of numerical and analytical methods based on the concept of a traveling wave, with a central feature of conversion of the PDEs to ODEs.

 The Matlab and Maple software will be available for download from this website shortly.

www.pdecomp.net

• Includes a spectrum of applications in science, engineering, applied mathematics
• Presents a combination of numerical and analytical methods
• Provides transportable computer codes in Matlab and Maple

Recensione:

"This book surveys some of the new developments in analytical and numerical computer solution methods for partial differential equations with applications to physical, chemical, and biological problems. The development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods."--Zentralblatt MATH 1228-1