Handbook of Integral Equations

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A01=Alexander V. Manzhirov
A01=Andrei D. Polyanin
A01=Polyanin Polyanin
advanced engineering mathematics
Ak Exp
Ak Sin
arbitrary
Arbitrary Constants
Author_Alexander V. Manzhirov
Author_Andrei D. Polyanin
Author_Polyanin Polyanin
Bessel Functions
boundary value problems
Category=PBKL
Ck Sin
constant
Constants Bk
Degenerate Kernel
Difference Kernel
differential equations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
form
fredholm
Fredholm Equation
Fredholm Integral Equation
functional analysis methods
Homogeneous Equation
implicit
integral equation solution strategies
Integral Equations
integral transforms
Laplace Transforms
Linear Integral Equations
Linear Nonhomogeneous Ordinary Differential Equation
mathematical physics applications
Mellin Transform
nonlinearity
numerical methods
numerical solution techniques
ordinary
Ordinary Differential Equation
original
Original Integral Equation
partial differential equations
quadratic
Riemann Boundary
Riemann Problem
Singular Integral Equation
Sokhotski Plemelj Formulas
Truncated Equation
volterra
Volterra Equations
Volterra Integral Equation

Product details

  • ISBN 9781584885078
  • Weight: 2280g
  • Dimensions: 178 x 254mm
  • Publication Date: 12 Feb 2008
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor.

New to the Second Edition

• New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions

• More than 400 new equations with exact solutions

• New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs

• Additional examples for illustrative purposes

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. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.

Polyanin Polyanin, Alexander V. Manzhirov

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