Results 171 to 180 of about 3,037 (220)

Fredholm integral equation of the second kind with potential kernel [PDF]

open access: yesJournal of Computational and Applied Mathematics, 1996
A method is used to solve the Fredholm integral equation of the second kind, which is investigated from the semi-symmetric Hertz problem for two different elastic materials in three dimensions.
M A Abdou
exaly   +2 more sources

On a symptotic methods for Fredholm–Volterra integral equation of the second kind in contact problems [PDF]

open access: yesJournal of Computational and Applied Mathematics, 2003
A method is used to obtain the general solution of Fredholm–Volterra integral equation of the second kind in the space L2(Ω)×C(0,T),0⩽t ...
M A Abdou
exaly   +2 more sources

The -method and Fredholm integral equations

Computer Methods in Applied Mechanics and Engineering, 1977
Abstract Instead of using approximate methods on the equation f(x) = g(x) + λ ∫ 0 1 K(x,t)f(t) dt , the τ-method is employed to obtain the exact solution of the equation h(x) = g(x) + λ ∫ 0 1 K(x,t)h(t) dt + R(x,λ) ,The analytical from of R(x, λ) determines the type of approximation which results.
Fair, Wyman, Wimp, Jet
openaire   +1 more source

Parallel solution of Fredholm integral equations

Parallel Computing, 1989
Nyström and Galerkin procedures are examined numerically. In both cases, parallel variants to obtain the matrices and to solve the linear matrix systems, are performed. There results superiority of the parallel variants for a large number of discretization points or functions in the Galerkin ansatz, respectively.
Esmail Babolian, L. M. Delves
openaire   +1 more source

A simplification to Fredholm’s solution to the Fredholm integral equation of the second kind

Applied Mathematics and Computation, 2007
The authors provide a simplification of the solution of a Fredholm integral equation of the second kind in terms of a ratio of determinants. Combinatorial arguments allow a major simplification of Fredholm's solution formula, economizing in particular on the number of multiple integrals to evaluate.
openaire   +1 more source

On Solving Fredholm Integral Equations of the First Kind

Journal of the ACM, 1977
A method for numerical solution of Fredholm integral equations of the first kind is derived and illustrated The solution f(x) of the integral equation is assumed to be a sample function of a wide-sense stationary random process with known autocorrelaUon function.
SAHASRABUDHE, SC, KULKARNI, AD
openaire   +3 more sources

Fredholm Integral Equations

2011
It was stated in Chapter 2 that Fredholm integral equations arise in many scientific applications. It was also shown that Fredholm integral equations can be derived from boundary value problems. Erik Ivar Fredholm (1866– 1927) is best remembered for his work on integral equations and spectral theory. Fredholm was a Swedish mathematician who established
openaire   +1 more source

On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On Volterra-Fredholm integral equations

Periodica Mathematica Hungarica, 1993
The Ważewski method associated with the convergence of successive approximations is used in order to obtain existence and uniqueness results for the functional-integral equation of Volterra-Fredholm type of the form \[ \begin{multlined} x(t)=F \Biggl( t,x(t), \int_ 0^ t f_ 1(t,s,x(s))ds,\dots, \int_ 0^ t f_ n(t,s,x(s))ds,\\ \int_ 0^ T g_ 1(t,s,x(s))ds,\
openaire   +1 more source

On nonlinear Fredholm–Volterra integral equations with hysteresis

Applied Mathematics and Computation, 2004
The author improves his earlier result concerning the existence and uniqueness of solutions of the following Fredholm-Volterra system with hysteresis \[ x(t)= g(t)+ \int^t_0 p(t,s)\phi(s, x(s), w[S[x]](s))\,ds+ \int^\infty_0 q(t,s) \psi(s, x(s), w[S[x]](s))\,ds,\tag{1} \] where \(w\) denotes a hysteresis operator and \(S\) is the superposition operator
openaire   +2 more sources

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