A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel [PDF]
Calcolo, 2022 A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with a weakly singular kernel is of concern in this paper.
Hao Chen, W. Qiu, M. A. Zaky, A. Hendy
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Finite element approximation for the delayed generalized Burgers-Huxley equation with weakly singular kernel: Part II Non-Conforming and DG approximation [PDF]
SIAM Journal on Scientific Computing, 2023 In this paper, the numerical approximation of the generalized Burgers'-Huxley equation (GBHE) with weakly singular kernels using non-conforming methods will be presented. Specifically, we discuss two new formulations.
S. Mahajan, Arbaz Khan
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Computational and Applied Mathematics, 2022 This research apparatuses an approximate spectral method for the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel (TFPIDE).
A. Atta, Youssri Hassan Youssri
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A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel [PDF]
Journal of Computational Physics, 2021 In this paper, we study a parallel-in-time (PinT) algorithm for all-at-once system from a non-local evolutionary equation with weakly singular kernel where the temporal term involves a non-local convolution with a weakly singular kernel and the spatial ...
Xue-lei Lin, M. Ng, Yajing Zhi
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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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Mathematics, 2022 This paper studies an alternating direction implicit orthogonal spline collocation (ADIOSC) technique for calculating the numerical solution of the hyperbolic integrodifferential problem with a weakly singular kernel in the two-dimensional domain.
Qiong Huang, O. Nikan, Z. Avazzadeh
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Advances in Differential Equations, 2021 The shifted Chebyshev polynomials of the fifth kind (SCPFK) and the collocation method are employed to achieve approximate solutions of a category of the functional equations, namely variable-order time-fractional weakly singular partial integro ...
K. Sadri +4 more
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On the Volterra integral equation with weakly singular kernel [PDF]
Mathematica Bohemica, 2006 Summary: We give sufficient conditions for the existence of at least one integrable solution of equation \(x(t)=f(t)+\int _{0}^{t} K(t,s)g(s,x(s))\,ds\). Our assumptions and proofs are expressed in terms of measures of noncompactness.
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