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TRAVELING WAVE ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS NUMERICAL AND ANALYTICAL METHODS WITH MATLAB AND MAPLE HB N E W at Meripustak

TRAVELING WAVE ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS NUMERICAL AND ANALYTICAL METHODS WITH MATLAB AND MAPLE HB N E W

Books from same Author: Graham Griffiths William E. Schiesser

Books from same Publisher: Elsevier Science Publishing Co Inc

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    • General Information  
    Author(s)Graham Griffiths William E. Schiesser
    PublisherElsevier Science Publishing Co Inc
    ISBN9780123846525
    Pages461
    BindingHardback
    LanguageEnglish
    Publish YearApril 2011

    Description

    Elsevier Science Publishing Co Inc TRAVELING WAVE ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS NUMERICAL AND ANALYTICAL METHODS WITH MATLAB AND MAPLE HB N E W by Graham Griffiths William E. Schiesser

    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