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Handbook of Linear Partial Differential Equations for Engineers and Scientists

Edited by: Andrei D. Polyanin , Vladimir E. Nazaikinskii

Print publication date:  January  2016
Online publication date:  December  2015

Print ISBN: 9781466581456
eBook ISBN: 9781466581494
Adobe ISBN:

10.1201/b19056
 Cite  Marc Record

Book description

  • 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.

Table of contents

Prelims Download PDF
Chapter  1:  First-Order Equations with Two Independent Variables Download PDF
Chapter  2:  First-Order Equations with Three or More Independent Variables Download PDF
Chapter  3:  Second-Order Parabolic Equations with One Space Variable Download PDF
Chapter  4:  Second-Order Parabolic Equations with Two Space Variables Download PDF
Chapter  5:  Second-Order Parabolic Equations with Three or More Space Variables Download PDF
Chapter  6:  Second-Order Hyperbolic Equations with One Space Variable Download PDF
Chapter  7:  Second-Order Hyperbolic Equations with Two Space Variables Download PDF
Chapter  8:  Second-Order Hyperbolic Equations with Three or More Space Variables Download PDF
Chapter  9:  Second-Order Elliptic Equations with Two Space Variables Download PDF
Chapter  10:  Second-Order Elliptic Equations with Three or More Space Variables Download PDF
Chapter  11:  Higher-Order Partial Differential Equations Download PDF
Chapter  12:  Systems of Linear Partial Differential Equations Download PDF
Chapter  13:  Methods for First-Order Linear PDEs Download PDF
Chapter  14:  Second-Order Linear PDEs: Classification, Problems, and Particular Solutions Download PDF
Chapter  15:  Separation of Variables and Integral Transform Methods Download PDF
Chapter  16:  Cauchy Problem. Fundamental Solutions Download PDF
Chapter  17:  Boundary Value Problems. Green’s Function Download PDF
Chapter  18:  Duhamel’s Principles. Some Transformations Download PDF
Chapter  19:  Systems of Linear Coupled PDEs. Decomposition Methods Download PDF
Chapter  20:  Some Asymptotic Results and Formulas Download PDF
Chapter  21:  Elements of Theory of Generalized Functions Download PDF
Chapter  22:  Linear Partial Differential Equations with Maple Download PDF
Chapter  23:  Linear Partial Differential Equations with Mathematica Download PDF
Chapter  24:  Linear Partial Differential Equations with MATLAB  Download PDF
Chapter  25:  Elementary Functions and Their Properties Download PDF
Chapter  26:  Finite Sums and Infinite Series Download PDF
Chapter  27:  Indefinite and Definite Integrals Download PDF
Chapter  28:  Integral Transforms Download PDF
Chapter  29:  Curvilinear Coordinates, Vectors, Operators, and Differential Relations Download PDF
Chapter  30:  Special Functions and Their Properties Download PDF
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