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 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.

Produk Detail:

  • Author : Graham W. Griffiths
  • Publisher : Anonim
  • Pages : 447 pages
  • ISBN : 9780123846525
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKTraveling Wave Analysis of Partial Differential Equations

Traveling Wave Analysis of Partial Differential Equations

Traveling Wave Analysis of Partial Differential Equations
  • Author : Graham W. Griffiths,W. E. Schiesser
  • Publisher : Unknown Publisher
  • Release : 01 January 2011
GET THIS BOOKTraveling 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 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

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 BOOKTraveling 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 : Walter A. Strauss
  • Publisher : John Wiley & Sons
  • Release : 21 December 2007
GET THIS BOOKPartial Differential Equations

Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables. While focusing on the three most classical partial differential equations (PDEs)—the wave, heat, and Laplace equations—this detailed text also presents a broad practical perspective that merges mathematical concepts with real-world application in diverse areas including molecular structure, photon and electron interactions, radiation of electromagnetic waves, vibrations of a solid, and many more. Rigorous pedagogical

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 BOOKAsymptotic 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

Hyperbolic Partial Differential Equations and Wave Phenomena

Hyperbolic Partial Differential Equations and Wave Phenomena
  • Author : Mitsuru Ikawa
  • Publisher : American Mathematical Soc.
  • Release : 09 August 2022
GET THIS BOOKHyperbolic Partial Differential Equations and Wave Phenomena

This book is one of a growing list of good student-oriented titles representing a subseries within the larger Translations series. These are excellent translations of top Japanese mathematics, packaged in convenient paperback editions that are very reasonably priced for the bookseller and undergraduate markets. This current title will easily do the same.

An Introduction to the Mathematical Theory of Waves

An Introduction to the Mathematical Theory of Waves
  • Author : Roger Knobel
  • Publisher : American Mathematical Soc.
  • Release : 09 August 2022
GET THIS BOOKAn Introduction to the Mathematical Theory of Waves

Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques. Next, traveling waves are covered, such as solitary waves for the Klein-Gordon and KdV equations. Finally, the author gives a lucid discussion of waves arising from conservation laws, including shock and rarefaction waves. As an application, interesting models of traffic flow are used to illustrate conservation laws and wave phenomena. This book

Spline Collocation Methods for Partial Differential Equations

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

Handbook of Nonlinear Partial Differential Equations, Second Edition

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

Numerical Integration of Space Fractional Partial Differential Equations

Numerical Integration of Space Fractional Partial Differential Equations
  • Author : Younes Salehi,William E. Schiesser
  • Publisher : Springer Nature
  • Release : 01 June 2022
GET THIS BOOKNumerical 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

Mathematical Methods in Engineering

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

Recent Trends in Wave Mechanics and Vibrations

Recent Trends in Wave Mechanics and Vibrations
  • Author : S. Chakraverty,Paritosh Biswas
  • Publisher : Springer Nature
  • Release : 12 November 2019
GET THIS BOOKRecent 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.

Separation of Variables and Exact Solutions to Nonlinear PDEs

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

Method of Lines PDE Analysis in Biomedical Science and Engineering

Method of Lines PDE Analysis in Biomedical Science and Engineering
  • Author : William E. Schiesser
  • Publisher : John Wiley & Sons
  • Release : 13 April 2016
GET THIS BOOKMethod of Lines PDE Analysis in Biomedical Science and Engineering

Presents the methodology and applications of ODE and PDE models within biomedical science and engineering With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration, Method of Lines PDE Analysis in Biomedical Science and Engineering demonstrates the use of numerical methods for the computer solution of PDEs as applied to biomedical science and engineering (BMSE). Written by a well-known researcher in the field, the book provides an introduction to basic numerical methods for initial/