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

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This second edition contains nearly 4,000 linear partial differential equations (PDEs) with solutions as well as analytical, symbolic, and numerical methods for solving linear equations. First-, second-, third-, fourth-, and higher-order linear equations and systems of coupled equations are considered. Equations of parabolic, mixed, and other types are discussed. New linear equations, exact solutions, transformations, and methods are described. Formulas for effective construction of solutions are given. Boundary value and eigenvalue problems are addressed. Symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB® are explored.

Exact Solutions. First-Order Equations with Two Independent Variables. First-Order Equations with Three or More Independent Variables. Second-Order Parabolic Equations with One Space Variable. Second-Order Parabolic Equations with Two Space Variables. Second-Order Parabolic Equations with Three or More Space Variables. Second-Order Hyperbolic Equations with One Space Variable. Second-Order Hyperbolic Equations with Two Space Variables. Second-Order Hyperbolic Equations with Three or More Space Variables. Second-Order Elliptic Equations with Two Space Variables. Second-Order Elliptic Equations with Three or More Space Variables. Higher-Order Partial Differential Equations. Systems of Linear Partial Differential Equations. Analytical Methods. Methods for First-Order Linear PDEs. Second-Order Linear PDEs: Classification, Problems, Particular Solutions. Separation of Variables and Integral Transform Methods. Cauchy Problem. Fundamental Solutions. Boundary Value Problems. Green?s Function. Duhamel?s Principles. Some Transformations. Systems of Linear Coupled PDEs. Decomposition Methods. Some Asymptotic Results and Formulas. Elements of Theory of Generalized Functions. Symbolic and Numerical Solutions with Maple, Mathematica, and MATLAB ? . Linear Partial Differential Equations with Maple. Linear Partial Differential Equations with Mathematica. Linear Partial Differential Equations with MATLAB ? . Tables and Supplements. Elementary Functions and Their Properties. Finite Sums and Infinite Series. Indefinite and Definite Integrals. Integral Transforms. Curvilinear Coordinates, Vectors, Operators, and Differential Relations. Special Functions and Their Properties.

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

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