Handbook of Linear Partial Differential Equations for Engineers and Scientists
Andrei D. Polyanin
Chapman & Hall
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 problemsAn 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.