Traveling Wave Analysis of Partial Differential Equations

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  • Author : Graham Griffiths
  • Publisher : Academic Press
  • Pages : 461 pages
  • ISBN : 9780123846532
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Traveling Wave Analysis of Partial Differential Equations

Download or Read online Traveling Wave Analysis of Partial Differential Equations full in PDF, ePub and kindle. this book written by Graham Griffiths and published by Academic Press which was released on 09 December 2010 with total page 461 pages. We cannot guarantee that Traveling Wave Analysis of Partial Differential Equations book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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

Traveling Wave Analysis of Partial Differential Equations
  • Author : Graham Griffiths,William E. Schiesser
  • Publisher : Academic Press
  • Release : 09 December 2010
GET THIS BOOK 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 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

Partial Differential Equations

Partial Differential Equations
  • Author : Michael Shearer,Rachel Levy
  • Publisher : Princeton University Press
  • Release : 01 March 2015
GET THIS BOOK 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 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

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena

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  • Author : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations
  • Publisher : American Mathematical Soc.
  • Release : 01 October 2010
GET THIS BOOK Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena

This volume presents the state of the art in several directions of research conducted by renowned mathematicians who participated in the research program on Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, during the academic year 2008-09. The main theme of the volume is nonlinear partial differential equations that model a wide variety of wave phenomena. Topics discussed include systems of conservation laws, compressible Navier-Stokes equations, Navier-Stokes-Korteweg type

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations
  • Author : Hans G. Kaper,Marc Garbey
  • Publisher : CRC Press
  • Release : 25 February 1991
GET THIS BOOK Asymptotic Analysis and the Numerical Solution of Partial Differential Equations

Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per

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  • Author : Kenan Taş,Dumitru Baleanu,J. A. Tenreiro Machado
  • Publisher : Springer
  • Release : 02 August 2018
GET THIS BOOK Mathematical Methods in Engineering

This book presents recent developments in nonlinear dynamics with an emphasis on complex systems. The volume illustrates new methods to characterize the solutions of nonlinear dynamics associated with complex systems. This book contains the following topics: new solutions of the functional equations, optimization algorithm for traveling salesman problem, fractals, control, fractional calculus models, fractional discretization, local fractional partial differential equations and their applications, and solutions of fractional kinetic equations.

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  • Publisher : Springer Nature
  • Release : 12 November 2019
GET THIS BOOK Recent Trends in Wave Mechanics and Vibrations

This book consists of select proceedings of the National Conference on Wave Mechanics and Vibrations (WMVC 2018). It covers recent developments and cutting-edge methods in wave mechanics and vibrations applied to a wide range of engineering problems. The book presents analytical and computational studies in structural mechanics, seismology and earthquake engineering, mechanical engineering, aeronautics, robotics and nuclear engineering among others. This book can be useful for students, researchers, and professionals interested in the wide-ranging applications of wave mechanics and vibrations.

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Spline Collocation Methods for Partial Differential Equations
  • Author : William E. Schiesser
  • Publisher : John Wiley & Sons
  • Release : 22 May 2017
GET THIS BOOK Spline Collocation Methods for Partial Differential Equations

One-dimensional PDEs -- Multidimensional PDEs -- Navier-Stokes, Burgers equations -- Korteweg-deVries equation -- Maxwell equations -- Poisson-Nernst-Planck equations -- Fokker-Planck equation -- Fisher-Kolmogorov equation -- Klein-Gordon equation -- Boussinesq equation -- Cahn-Hilliard equation -- Camassa-Holm equation -- Burgers-Huxley equation -- Gierer-Meinhardt equations -- Keller-Segel equations -- Fitzhugh-Nagumo equations -- Euler-Poisson-Darboux equation -- Kuramoto-Sivashinsky equation -- Einstein-Maxwell equations

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  • Author : Younes Salehi,William E. Schiesser
  • Publisher : Morgan & Claypool Publishers
  • Release : 06 December 2017
GET THIS BOOK Numerical Integration of Space Fractional Partial Differential Equations

Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. Therefore, two fractional PDEs can be considered, (1) fractional in time (TFPDEs), and (2) fractional in space (SFPDEs). The two volumes are directed to the development and use of SFPDEs, with the discussion divided as: •Vol 1: Introduction to Algorithms and Computer Coding in

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  • Author : Andrei D. Polyanin,Valentin F. Zaitsev
  • Publisher : CRC Press
  • Release : 19 April 2016
GET THIS BOOK Handbook of Nonlinear Partial Differential Equations Second Edition

New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They

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  • Author : Vitaly Volpert
  • Publisher : Springer
  • Release : 10 May 2014
GET THIS BOOK Elliptic Partial Differential Equations

If we had to formulate in one sentence what this book is about, it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present

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Topics in Modal Analysis II  Volume 6
  • Author : R. Allemang,J. De Clerck,C. Niezrecki,J.R. Blough
  • Publisher : Springer Science & Business Media
  • Release : 28 April 2012
GET THIS BOOK Topics in Modal Analysis II Volume 6

Topics in Modal Analysis II, Volume 6: Proceedings of the 30th IMAC, A Conference and Exposition on Structural Dynamics, 2012, is the sixth volume of six from the Conference and brings together 65 contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Aerospace, Acoustics, Energy Harvesting, Shock and Vibration, Finite Element, Structural Health Monitoring, Biodynamics Experimental Techniques, Damage Detection, Rotating Machinery, Sports Equipment Dynamics,

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  • Author : Karline Soetaert,Jeff Cash,Francesca Mazzia
  • Publisher : Springer Science & Business Media
  • Release : 06 June 2012
GET THIS BOOK Solving Differential Equations in R

Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of

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  • Author : Andrei D. Polyanin,Alexei I. Zhurov
  • Publisher : CRC Press
  • Release : 20 September 2021
GET THIS BOOK Separation of Variables and Exact Solutions to Nonlinear PDEs

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry reductions and its more general version. In addition, the authors describe the differential constraint method, which generalizes many other exact methods. The presentation involves numerous examples of utilizing the methods to find exact solutions to specific nonlinear equations