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Surrogate model for statics of fractional thin bar element and its equivalence with mass-spring metamaterial. [PDF]
Sci RepSzajek K, Sumelka W.
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A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]
Sci RepHamood MM, Sharif AA, Ghadle KP.
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A finite difference scheme for the nonlinear time‐fractional partial integro‐differential equation
Mathematical methods in the applied sciences, 2020In this paper, a finite difference scheme is proposed for solving the nonlinear time‐fractional integro‐differential equation. This model involves two nonlocal terms in time, ie, a Caputo time‐fractional derivative and an integral term with memory.
Jing Guo, Da Xu, W. Qiu
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SIAM Journal of Control and Optimization, 2020
In this paper, we propose a novel space semidiscretized finite difference scheme for approximation of the one-dimensional wave equation under boundary feedback.
Jiankang Liu, B. Guo
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In this paper, we propose a novel space semidiscretized finite difference scheme for approximation of the one-dimensional wave equation under boundary feedback.
Jiankang Liu, B. Guo
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Numerical Methods for Partial Differential Equations, 2019
In this paper, a compact finite difference scheme is constructed and investigated for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel.
Da Xu, W. Qiu, Jing Guo
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In this paper, a compact finite difference scheme is constructed and investigated for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel.
Da Xu, W. Qiu, Jing Guo
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International Journal of Computational Mathematics, 2019
In this article, a formally second-order backward differentiation formula (BDF) finite difference scheme is presented for the integro-differential equations with the multi-term kernels.
W. Qiu, Da Xu, Hongbin Chen
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In this article, a formally second-order backward differentiation formula (BDF) finite difference scheme is presented for the integro-differential equations with the multi-term kernels.
W. Qiu, Da Xu, Hongbin Chen
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A New Finite-Difference Diffusion Scheme
Journal of Computational Physics, 1996The authors purpose a new second-order accurate, explicit finite difference diffusion scheme, that they call ``three-level, locally implicit'' scheme. The scheme is derived as a weighted average of the conventional forward-in-time, explicit diffusion scheme over one grid length and the same scheme over two grid lengths.
Hobson, J. M., Wood, N., Mason, P. J.
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1984
To arrive at finite difference equations modeling magnetohydrodynamic equilibrium we use a technique that is motivated by the finite element method [3]. First we develop a second order accurate numerical quadrature formula for the Hamiltonian E based on a rectangular grid of mesh points over a unit cube of the space with coordinates s, u and v.
Frances Bauer +2 more
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To arrive at finite difference equations modeling magnetohydrodynamic equilibrium we use a technique that is motivated by the finite element method [3]. First we develop a second order accurate numerical quadrature formula for the Hamiltonian E based on a rectangular grid of mesh points over a unit cube of the space with coordinates s, u and v.
Frances Bauer +2 more
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2020
Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
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Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
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