Handbook of linear partial differential equations for engineers and scientists
著者
書誌事項
Handbook of linear partial differential equations for engineers and scientists
CRC Press, c2016
2nd ed
- タイトル別名
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Linear partial differential equations for engineers and scientists
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注記
Includes bibliographical references (p.1569-1585) and index
内容説明・目次
内容説明
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 (R)
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.
目次
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 (R). Linear Partial Differential Equations with Maple. Linear Partial Differential Equations with Mathematica. Linear Partial Differential Equations with MATLAB (R). 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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