Results 21 to 30 of about 16,231 (283)
Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In the current study, a new numerical algorithm is presented to solve a class of nonlinear fractional integral-differential equations with weakly singular kernels. Cubic hat functions (CHFs) and their properties are introduced for the first time.
H. Ebrahimi, J. Biazar
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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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On the Lagrangian Trajectories for the One-Dimensional Euler Alignment Model without Vacuum Velocity
Comptes Rendus. Mathématique, 2020 A well-known result of Carrillo, Choi, Tadmor, and Tan [1] states that the 1D Euler Alignment model with smooth interaction kernels possesses a “critical threshold” criterion for the global existence or finite-time blowup of solutions, depending on the ...
Leslie, Trevor M.
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Numerical study of nonlinear problems in the dynamics of thin-walled structural elements [PDF]
E3S Web of Conferences, 2021 Mathematical model of the problem of vibration of thin-walled structural elements has been constructed based on Kirchhoff-Love theory. The problem is reduced, using the Bubnov-Galerkin method, to the solution of a set of nonlinear integro-differential ...
Kucharov Olim +3 more
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Gauss-Jacobi-type quadrature rules for fractional directional integrals [PDF]
, 2013 Fractional directional integrals are the extensions of the Riemann–Liouville fractional integrals from one- to multi-dimensional spaces and play an important role in extending the fractional differentiation to diverse applications.
Chen, W, Pang, G, Sze, KY
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Fractal and Fractional, 2021 In this paper, by means of the second Chebyshev wavelet and its operational matrix, we solve a system of fractional-order Volterra–Fredholm integro-differential equations with weakly singular kernels.
Esmail Bargamadi +3 more
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On multi-singular integral equations involving n weakly singular kernels
Filomat, 2018 We deal with some sources of Banach spaces which are closely related to an important issue in applied mathematics i.e. the problem of existence and uniqueness of the solution for the very applicable weakly singular integral equations. In the classical mode, the uniform space (C[a,b], ||.||?) is usually applied to the related discussion ...
Sales, S. M. S. Nabavi, Baghani, O.
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Axioms, 2022 This paper is concerned with numerical solutions to Volterra integro-differential equations with weakly singular kernels. Making use of the transformed fractional Jacobi polynomials, we develop a class of piecewise fractional Galerkin methods for solving
Haiyang Li, Junjie Ma
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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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On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications
Abstract and Applied Analysis, 2014 Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels.
Kelong Cheng, Chunxiang Guo, Qingke Zeng
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