Includes nearly 4,000 linear partial differential equations with solutions
Considers equations of parabolic, hyperbolic, elliptic, mixed, and other types
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 analytical methods for solving various problems in science and engineering
Provides a database of test problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEs
In total, the Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition contains much more linear equations, problems, and solutions than any other book currently available.
New to the second edition
More than 700 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order linear equations with solutions
Systems of coupled partial differential equations 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.
Author(s): Polyanin A.D., Nazaikinskii V.E
Edition: 2
Publisher: CRC
Year: 2016
Language: English
Tags: Differential equations, Linear -- Numerical solution -- Handbooks, manuals, etc
Part I Exact Solutions
chapter 1|136 pages
- First-Order Equations with Two Independent Variables
chapter 2|122 pages
- First-Order Equations with Three or More Independent Variables
chapter 3|140 pages
- Second-Order Parabolic Equations with One Space Variable
chapter 4|62 pages
- Second-Order Parabolic Equations with Two Space Variables
chapter 5|94 pages
- Second-Order Parabolic Equations with Three or More Space Variables
chapter 6|76 pages
- Second-Order Hyperbolic Equations with One Space Variable
chapter 7|62 pages
- Second-Order Hyperbolic Equations with Two Space Variables
chapter 8|86 pages
- Second-Order Hyperbolic Equations with Three or More Space Variables
chapter 9|78 pages
- Second-Order Elliptic Equations with Two Space Variables
chapter 10|82 pages
- Second-Order Elliptic Equations with Three or More Space Variables
chapter 11|118 pages
- Higher-Order Partial Differential Equations
chapter 12|62 pages
- Systems of Linear Partial Differential Equations
part |2 pages
Part II Analytical Methods
chapter 13|10 pages
- Methods for First-Order Linear PDEs
chapter 14|20 pages
Second-Order Linear PDEs: Classification, Problems, Particular Solutions
chapter 15|28 pages
- Separation of Variables and Integral Transform Methods
chapter 16|18 pages
- Cauchy Problem. Fundamental Solutions
chapter 17|34 pages
- Boundary Value Problems. Green’s Function
chapter 18|6 pages
- Duhamel’s Principles. Some Transformations
chapter 19|16 pages
- Systems of Linear Coupled PDEs. Decomposition Methods
chapter 20|10 pages
- Some Asymptotic Results and Formulas
chapter 21|12 pages
- Elements of Theory of Generalized Functions
chapter 22|50 pages
- Linear Partial Differential Equations with Maple
chapter 23|40 pages
- Linear Partial Differential Equations with Mathematica
chapter 24|38 pages
Linear Partial Differential Equations with MATLAB R©
chapter 25|16 pages
- Elementary Functions and Their Properties
chapter 26|14 pages
- Finite Sums and Infinite Series
chapter 27|28 pages
- Indefinite and Definite Integrals
chapter 28|32 pages
- Integral Transforms
chapter 29|14 pages
- Curvilinear Coordinates, Vectors, Operators, and Differential Relations
chapter 30|60 pages
- Special Functions and Their Properties
