Handbook of Linear Partial Differential Equations for Engineers and Scientists
Andrei D. Polyanin, Russian Academy of Sciences, Moscow
Features
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Andrei D. Polyanin, Russian Academy of Sciences, Moscow
Features
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
SummaryAvoids 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
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.
التحميل من هناParabolic, 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.
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