Handbook of Linear Partial Differential Equations for Engineers and Scientists

Andrei D. Polyanin

November 28, 2001 by Chapman and Hall/CRC
Reference - 800 Pages
ISBN 9781584882992 - CAT# C2999

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  • Contains over 2,200 linear equations and problems of mathematical physics with solutions
  • Avoids using special terminology, where possible, and presents many results in a simple, schematic format
  • Describes many new exact solutions to various equations and boundary value problems
  • Contains more specific science and engineering equations and problems, including some nonlinear PDEs, than any other book available
  • Presents solutions to numerous problems related to heat and mass transfer, wave theory, acoustics, elasticity, hydrodynamics, electrostatics, quantum mechanics, and other fields of science and engineering
  • Summary

    Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering.

  • Parabolic, hyperbolic, and elliptic equations with constant and variable coefficients
  • New exact solutions to linear equations and boundary value problems
  • Equations and problems of general form that depend on arbitrary functions
  • Formulas for constructing solutions to nonhomogeneous boundary value problems
  • Second- and higher-order equations and boundary value problems

    An introductory section outlines the basic definitions, equations, problems, and methods of mathematical physics. It also provides useful formulas for expressing solutions to boundary value problems of general form in terms of the Green's function. Two supplements at the end of the book furnish more tools and information: Supplement A lists the properties of common special functions, including the gamma, Bessel, degenerate hypergeometric, and Mathieu functions, and Supplement B describes the methods of generalized and functional separation of variables for nonlinear partial differential equations.