Hamiltonian Formulation and Aspects of Integrability of Generalised Hydrodynamics. [PDF]
Bonnemain T, Caudrelier V, Doyon B.
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Exact hydrodynamic manifolds for the linear Boltzmann BGK equation I: spectral theory. [PDF]
Kogelbauer F, Karlin I.
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A discrete model for analyzing the free vibrations of a non-uniform 2D-FGM beam under elastic foundations and different support conditions. [PDF]
Moukhliss A, Rahmouni A, Benamar R.
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Image Reconstruction Requirements for Short-Range Inductive Sensors Used in Single-Coil MIT. [PDF]
Feldkamp JR.
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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]
Sweis H, Abu Arqub O, Shawagfeh N.
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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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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
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