A discrete model for analyzing the free vibrations of a non-uniform 2D-FGM beam under elastic foundations and different support conditions. [PDF]
Sci RepMoukhliss A, Rahmouni A, Benamar R.
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Well-posedness analysis and pseudo-Galerkin approximations using Tau Legendre algorithm for fractional systems of delay differential models regarding Hilfer (α,β)-framework set. [PDF]
PLoS OneSweis H, Abu Arqub O, Shawagfeh N.
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A numerical study on the dynamics of SIR epidemic model through Genocchi wavelet collocation method. [PDF]
Sci RepChiranahalli Vijaya DK +2 more
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Some stochastic integral and discrete equations of the volterra and fredholm types with applications
, 1971 W. J. Padgett
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The -method and Fredholm integral equations
Computer Methods in Applied Mechanics and Engineering, 1977Abstract 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
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Quintic spline functions and Fredholm integral equation
2021Summary: A new six order method developed for the approximation Fredholm integral equation of the second kind. This method is based on the quintic spline functions (QSF). In our approach, we first formulate the Quintic polynomial spline then the solution of integral equation approximated by this spline.
Maleknejad, Khosrow +2 more
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Iterative methods for solving fredholm integral equations
BIT, 1972A “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, 1996A 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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