Results 191 to 200 of about 3,512 (232)

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.
Babolian, E., Delves, L. M.
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Generalized Fredholm Integral Equations

2016
In this chapter we adapt the Adomian decomposition method, the modified decomposition method, the noise term phenomenon, the direct computation method and the successive approximation method for generalized Fredholm integral equations.
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On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
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Systems of Fredholm Integral Equations

2011
Systems of Volterra and Fredholm integral equations have attracted much concern in applied sciences. The systems of Fredholm integral equations appear in two kinds. The system of Fredholm integral equations of the first kind [1–5] reads $$\begin{gathered} {f_1}\left( x \right) = \int_a^b {\left( {{K_1}\left( {x,t} \right)u\left( t \right ...
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FREDHOLM INTEGRAL EQUATION SOLUTION

Современные проблемы математики в прикладных науках. материалы Всероссийской открытой конференции, 2022
Vladimir Igorevich Uskov, Anna Viktorovna Ryabykh   +1 more
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Numerical study of Fredholm integral equations

International Journal of Mathematical Education in Science and Technology, 1994
Two numerical methods for solving Fredholm integral equations of the first kind are examined, namely, a direct quadrature method and a boundary‐integral method. These methods are tested out on integral equations with a range of kernels. A regularization technique which replaces ill‐posed equations of the first kind by well‐posed equations of the second
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Multiscale Methods for Fredholm Integral Equations

2015
The recent appearance of wavelets as a new computational tool in applied mathematics has given a new impetus to the field of numerical analysis of Fredholm integral equations. This book gives an account of the state of the art in the study of fast multiscale methods for solving these equations based on wavelets.
Zhongying Chen, Charles A. Micchelli, Yuesheng Xu   +2 more
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Verification methods for fredholm integral equations

International Journal of Computer Mathematics, 1993
In this paper verification methods for Fredholm integral equations are considered. By these methods the numerical approximation is computed together with mathematically guaranteed error bounds of high quality. The foundations for such numerics is described and then applied to Fredholm integral equations.
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System of Fredholm Integral Equations: Eigenvalues

2013
In this chapter we shall consider two systems of Fredholm integral equations, one is on a finite ...
Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong   +2 more
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Fredholm Integral Equations

2021
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