Место издания:CRC Press Boca Raton - London - New York
Объём:
1631 страниц
(100,0 печатных листов)
ISBN:9781466581456
Монография
Исправленное и дополненное переиздание
Аннотация:Features
Provides a comprehensive database of solutions to linear partial differential equations (PDEs) and equations of mathematical physics
Considers equations of parabolic, hyperbolic, elliptic, mixed, and other types
Offers a broad choice of reliable solution methods and shows by specific examples how to use these methods
Addresses equations arising in various applications, including heat and mass transfer, elasticity, acoustics, electrodynamics, electrical engineering, and more
Discusses symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB®
Describes a number of new linear equations, exact solutions, transformations, and methods on par with the progress of science
Summary
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.