Results 1 to 10 of about 514 (43)
Nonlinear Engineering, 2023 In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam.
Moustafa Mohamed +2 more
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Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
Advances in Nonlinear Analysis, 2022 In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
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Alexandria Engineering Journal, 2022 In this paper, the space-time fractional advection-diffusion equation (STFADE) is considered in the finite domain that the time and space derivatives are the Caputo fractional derivative. At first, a quadratic interpolation with convergence order O(τ3-α)
Y. Esmaeelzade Aghdam +3 more
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Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials
Alexandria Engineering Journal, 2021 This work adopts to the time-fractional Klein–Gordon equation (FKGE) in the Caputo sense. We present a new technique using the clique polynomial as basis function for the operational matrices to obtain solution of time-FKGE.
R.M. Ganji +3 more
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Numerical treatment of temporal-fractional porous medium model occurring in fractured media
Journal of Ocean Engineering and Science, 2023 This paper proposes a temporal-fractional porous medium model (T-FPMM) for describing the co-current and counter-current imbibition, which arises in a water-wet fractured porous media. The correlation between the co-current and counter-current imbibition
R. Meher +3 more
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Approximations to linear Klein–Gordon Equations using Haar wavelet
Ain Shams Engineering Journal, 2021 In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram +2 more
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Moroccan Journal of Pure and Applied Analysis, 2020 The present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration
Chattouh Abdeldjalil, Saoudi Khaled
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A posteriori analysis of the spectral element discretization of a non linear heat equation
Advances in Nonlinear Analysis, 2020 The paper deals with a posteriori analysis of the spectral element discretization of a non linear heat equation. The discretization is based on Euler’s backward scheme in time and spectral discretization in space. Residual error indicators related to the
Abdelwahed Mohamed, Chorfi Nejmeddine
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Recursive POD expansion for the advection-diffusion-reaction equation [PDF]
, 2018 This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use the Recursive POD approximation for multivariate functions introduced in [M. AZAÏEZ, F. BEN BELGACEM, T. CHACÓN REBOLLO, Recursive
Azaïez, Majdi +3 more
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An effective approach to solve a system fractional differential equations
Alexandria Engineering Journal, 2020 The manuscript details a numerical method for solving a system of fractional differential equations (SFDEs) based on the Caputo fractional derivative by the Ritz method.
H. Jafari +2 more
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