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Reproducing kernel method for a class of weakly singular Fredholm integral equations
Journal of Taibah University for Science, 2018 Numerical methods for solving integral equations have been the focus of much research, including reproducing kernel methods. We present a new algorithm to solve weakly singular Fredholm integral equations (WSFIEs). The advantage of this method is that it
Azizallah Alvandi, Mahmoud Paripour
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Ain Shams Engineering Journal, 2022 We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla +3 more
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A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In the present paper, we propose a method to solve a class of weakly singular Fredholm integral equations of the second kind in reproducing kernel spaces.
D. Hamedzadeh, E. Babolian
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Vibration analysis of airfoil on hereditary deformable suspensions [PDF]
E3S Web of Conferences, 2019 This paper describes the analyses of the nonlinear vibrations and dynamic stability of an airfoil on hereditary-deformable suspensions. The model is based on two-degree-of-freedom structure in geometrically nonlinear statements. It provides justification
Usmonov Botir, Rakhimov Quvvatali
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Vibrations of dam–plate of a hydro-technical structure under seismic load [PDF]
E3S Web of Conferences, 2021 In present paper, the problem of the vibration of a viscoelastic dam-plate of a hydro-technical structure is investigated, based on the Kirchhoff-Love hypothesis in the geometrically nonlinear statement.
Tukhtaboev A +3 more
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Fractal and Fractional, 2021 We propose a fractional-order shifted Jacobi–Gauss collocation method for variable-order fractional integro-differential equations with weakly singular kernel (VO-FIDE-WSK) subject to initial conditions.
Mohamed A. Abdelkawy +4 more
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A Numerical Study for the Dirichlet Problem of the Helmholtz Equation
Mathematics, 2021 In this paper, an effective numerical method for the Dirichlet problem connected with the Helmholtz equation is proposed. We choose a single-layer potential approach to obtain the boundary integral equation with the density function, and then we deal ...
Yao Sun, Shijie Hao
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Axioms, 2023 In this article, we develop an efficient numerical scheme for dealing with fractional partial integro-differential equations (FPIEs) with a weakly singular kernel.
Mingzhu Li, Lijuan Chen, Yongtao Zhou
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
Brunner, Hermann +3 more
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Fast solvers of weakly singular integral equations of the second kind
Mathematical Modelling and Analysis, 2018 We discuss the bounds of fast solving weakly singular Fredholm integral equations of the second kind with a possible diagonal singularity of the kernel and certain boundary singularities of the derivatives of the free term when the information about the ...
Sumaira Rehman +2 more
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