# Traveling Wave Analysis Of Partial Differential Equations

Download **Traveling Wave Analysis Of Partial Differential Equations** full books in PDF, epub, and Kindle. Read online free *Traveling Wave Analysis Of Partial Differential Equations* ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

### Traveling Wave Analysis of Partial Differential Equations

Author | : Graham Griffiths,William E. Schiesser |

Publsiher | : Academic Press |

Total Pages | : 463 |

Release | : 2010-12-09 |

Genre | : Mathematics |

ISBN | : 9780123846532 |

**Download Traveling Wave Analysis of Partial Differential Equations Book in PDF, Epub and Kindle**

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

Author | : William E. Schiesser,Graham W. Griffiths |

Publsiher | : Unknown |

Total Pages | : 447 |

Release | : 2011 |

Genre | : Differential equations, Partial |

ISBN | : OCLC:733447329 |

**Download Traveling Wave Analysis of Partial Differential Equations Book in PDF, Epub and Kindle**

### Traveling Wave Analysis of Partial Differential Equations

Author | : Graham W. Griffiths,W. E. Schiesser |

Publsiher | : Unknown |

Total Pages | : 447 |

Release | : 2011-01 |

Genre | : Computers |

ISBN | : 0123846528 |

**Download Traveling Wave Analysis of Partial Differential Equations Book in PDF, Epub and Kindle**

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 the development of computer solution methods for PDEs that have extended PDE applications in quantifying board areas of physical, chemical, and biological phenomena. This book surveys some of these new development in analytical and numerical method, and relates the two through a series of PDF examples. The PDFs that have been selected are largely, "named" in thee sense that they have the names of their original contributors. These names usually reflect that the PDFs are widely recognized and used in many application areas. The development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problem that can be used to evaluate numerical methods.

### Partial Differential Equations

Author | : Walter A. Strauss |

Publsiher | : John Wiley & Sons |

Total Pages | : 467 |

Release | : 2007-12-21 |

Genre | : Mathematics |

ISBN | : 9780470054567 |

**Download Partial Differential Equations Book in PDF, Epub and Kindle**

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 provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

### A Compendium of Partial Differential Equation Models

Author | : William E. Schiesser,Graham W. Griffiths |

Publsiher | : Cambridge University Press |

Total Pages | : 491 |

Release | : 2009-03-16 |

Genre | : Computers |

ISBN | : 9780521519861 |

**Download A Compendium of Partial Differential Equation Models Book in PDF, Epub and Kindle**

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

### Partial Differential Equations

Author | : Michael Shearer,Rachel Levy |

Publsiher | : Princeton University Press |

Total Pages | : 286 |

Release | : 2015-03-01 |

Genre | : Mathematics |

ISBN | : 9780691161297 |

**Download Partial Differential Equations Book in PDF, Epub and Kindle**

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 to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors

### Partial Differential Equations and Solitary Waves Theory

Author | : Abdul-Majid Wazwaz |

Publsiher | : Springer Science & Business Media |

Total Pages | : 700 |

Release | : 2010-05-28 |

Genre | : Mathematics |

ISBN | : 9783642002519 |

**Download Partial Differential Equations and Solitary Waves Theory Book in PDF, Epub and Kindle**

"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 examples and exercises shall guide the reader through the text. Part II provides an extensive exposition of the solitary waves theory. This part handles nonlinear evolution equations by methods such as Hirota’s bilinear method or the tanh-coth method. A self-contained treatment is presented to discuss complete integrability of a wide class of nonlinear equations. This part presents in an accessible manner a systematic presentation of solitons, multi-soliton solutions, kinks, peakons, cuspons, and compactons. While the whole book can be used as a text for advanced undergraduate and graduate students in applied mathematics, physics and engineering, Part II will be most useful for graduate students and researchers in mathematics, engineering, and other related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University, Chicago, Illinois, USA.

### Introduction to Traveling Waves

Author | : Anna R. Ghazaryan,Stéphane Lafortune,Vahagn Manukian |

Publsiher | : CRC Press |

Total Pages | : 160 |

Release | : 2022-11-14 |

Genre | : Mathematics |

ISBN | : 9781000776935 |

**Download Introduction to Traveling Waves Book in PDF, Epub and Kindle**

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. This book includes techniques that are not covered in those texts. Through their experience involving undergraduate and graduate students in a research topic related to traveling waves, the authors found that the main difficulty is to provide reading materials that contain the background information sufficient to start a research project without an expectation of an extensive list of prerequisites beyond regular undergraduate coursework. This book meets that need and serves as an entry point into research topics about the existence and stability of traveling waves. Features Self-contained, step-by-step introduction to nonlinear waves written assuming minimal prerequisites, such as an undergraduate course on linear algebra and differential equations. Suitable as a textbook for a special topics course, or as supplementary reading for courses on modeling. Contains numerous examples to support the theoretical material. Supplementary MATLAB codes available via GitHub.