Results 181 to 190 of about 206,050 (258)

The economized monic Chebyshev polynomials for solving weakly singular Fredholm integral equations of the first kind

Asian-European Journal of Mathematics, 2018
This paper presents a numerical method for solving a certain class of Fredholm integral equations of the first kind, whose unknown function is singular at the end-points of the integration domain, and has a weakly singular logarithmic kernel with ...
E. Shoukralla, M. Markos
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Iterative methods for solving fredholm integral equations

BIT, 1972
A “Gauss-Seidel” type of iterative method is described for solving the non-linear Fredholm integral equation. The analysis shows that this method may be expected to converge faster than the standard iterative method.
Laidlaw, B. H., Phillips, G. M.
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Chebyshev series solutions of Fredholm integral equations

International Journal of Mathematical Education in Science and Technology, 1996
A matrix method for approximately solving certain linear and non‐linear Fredholm integral equations of the second kind is presented. The solution involves a truncated Chebyshev series approximation. The method is based on first taking the truncated Chebyshev series expansions of the functions in equation and then substituting their matrix forms into ...
DOĞAN, SETENAY, SEZER, MEHMET
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Fredholm–Volterra integral equation in contact problem

Applied Mathematics and Computation, 2003
The author considers the Fredholm-Volterra integral equation \[ kP(x,y,t)+q\int\limits_0^\infty\int\limits_0^\infty \frac{P(\xi,\eta,t)\,d\xi\,d\eta}{\sqrt{(x-\xi)^2+(y-\eta)^2}} +q\int\limits_0^t F(t,\tau)P(x,y,\tau) \,d\tau=f(x,y,t) \tag{1} \] in the space \(L_2(\Omega)\times C(0,T)\), under the condition \[ \int\limits_0^\infty\int\limits_0^\infty P(
Abdou, M. A., Moustafa, Osama L.
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Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind

Qualitative Theory of Dynamical Systems, 2023
Pooja Yadav, Shah Jahan, K. Nisar
semanticscholar   +1 more source

Fredholm theory of Heitler’s integral equation

Acta Physica Academiae Scientiarum Hungaricae, 1954
The Fredholm theory of non-homogeneous integral equation has been applied to Heitler’s integral equation for radiation damping in scattering processes which are beset with divergence difficulties. The general convergence of the solution has been discussed, from the mathematical point of view.
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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,\
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Estimates for fredholm integral equations

Numerical Functional Analysis and Optimization, 1999
There would seem to exist a lack of a priori estimates for the solutions of Fredholm integral equations. This article provides a constructive method to determine bounds on the solution of linear second kind Fredholm equations. To this aim a given Fredholm equation isreformulated as an equivalent problem with a positive kernel.
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Approximate solution to solve singular variable-order fractional Volterra–Fredholm integral partial differential equations type defined using hybrid functions

International Journal of Computational Mathematics
Variable-order time fractional Volterra–Fredholm integral partial differential equations with weakly singular kernels are taken into account as results of modeling diverse physical phenomena.
Yaser Rostami, K. Maleknejad
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Nonlinear Fredholm Integral Equations

2011
It was stated in Chapter 4 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.
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