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

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.

Write a review