Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition

Andrei D. Polyanin, Vladimir E. Nazaikinskii

January 15, 2016 by Chapman and Hall/CRC
Reference - 1609 Pages - 28 B/W Illustrations
ISBN 9781466581456 - CAT# K18874

USD$199.95

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Features

  • Provides a comprehensive database of solutions to linear partial differential equations (PDEs) and equations of mathematical physics
  • Considers equations of parabolic, hyperbolic, elliptic, mixed, and other types
  • Offers a broad choice of reliable solution methods and shows by specific examples how to use these methods
  • Addresses equations arising in various applications, including heat and mass transfer, elasticity, acoustics, electrodynamics, electrical engineering, and more
  • Discusses symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB®
  • Describes a number of new linear equations, exact solutions, transformations, and methods on par with the progress of science

Summary

  • Includes nearly 4,000 linear partial differential equations (PDEs) with solutions
  • Presents solutions of numerous problems relevant to heat and mass transfer, wave theory, hydrodynamics, aerodynamics, elasticity, acoustics, electrodynamics, diffraction theory, quantum mechanics, chemical engineering sciences, electrical engineering, and other fields
  • Outlines basic methods for solving various problems in science and engineering
  • Contains much more linear equations, problems, and solutions than any other book currently available
  • Provides a database of test problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEs

New to the Second Edition

  • More than 700 pages with 1,500+ new first-, second-, third-, fourth-, and higher-order linear equations with solutions
  • Systems of coupled PDEs with solutions
  • Some analytical methods, including decomposition methods and their applications
  • Symbolic and numerical methods for solving linear PDEs with Maple, Mathematica, and MATLAB®
  • Many new problems, illustrative examples, tables, and figures

To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity.