Traveling Wave Analysis of Partial Differential Equations

This book PDF is perfect for those who love Mathematics genre, written by Graham Griffiths and published by Academic Press which was released on 09 December 2010 with total hardcover pages 461. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Traveling Wave Analysis of Partial Differential Equations books below.

Traveling Wave Analysis of Partial Differential Equations
Author : Graham Griffiths
File Size : 54,6 Mb
Publisher : Academic Press
Language : English
Release Date : 09 December 2010
ISBN : 0123846536
Pages : 461 pages
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Traveling Wave Analysis of Partial Differential Equations by Graham Griffiths Book PDF Summary

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

Traveling Wave Analysis of Partial Differential Equations

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

Get Book
Traveling Wave Analysis of Partial Differential Equations

Download or read online Traveling Wave Analysis of Partial Differential Equations written by William E. Schiesser,Graham W. Griffiths, published by Unknown which was released on 2011. Get Traveling Wave Analysis of Partial Differential Equations Books now! Available in PDF, ePub and Kindle.

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Traveling Wave Analysis of Partial Differential Equations

Partial Differential Equations have been developed and used in science and engineering for more than 200 years, yet they remain a very active area of research, both because of their role in mathematics and their application to virtually all areas of science and engineering. This research is due relatively recently to

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Partial Differential Equations

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It

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A Compendium of Partial Differential Equation Models

Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.

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Introduction to Traveling Waves

Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students. Traveling waves are not typically covered in the undergraduate curriculum, and topics related to traveling waves are usually only covered in research papers, except for a few texts designed for students.

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Partial Differential Equations

An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections

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Partial Differential Equations and Solitary Waves Theory

"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understanding of abstract theories or compact concepts. Well-selected worked

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