Results 11 to 20 of about 159 (69)
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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, 2020 The phase-field dendritic crystal growth model is a highly nonlinear system that couples the anisotropic Allen-Cahn type equation and the heat equation.
Xiaofeng Yang sci
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On Multivariate Fractional Taylor’s and Cauchy’ Mean Value Theorem
Journal of Mathematical Study, 2019 In this paper, a generalized multivariate fractional Taylor’s and Cauchy’s mean value theorem of the kind f (x,y)= n ∑ j=0 Djα f (x0,y0) Γ(jα+1) +Rn(ξ,η), f (x,y)− n ∑ j=0 Djα f (x0,y0) Γ(jα+1) g(x,y)− n ∑ j=0 Dg(x0,y0) Γ(jα+1) = Rn(ξ,η) Tα n (ξ,η ...
Jinfa Cheng
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Numerical Approximation of the Smoluchowski Equation Using Radial Basis Functions
Journal of Computational Mathematics, 2020 The goal of this paper is to present a numerical method for the Smoluchowski equation, a drift-diffusion equation on the sphere, arising in the modelling of particle dynamics. The numerical method uses radial basis functions (RBF).
Christiane Helzel and Maximilian Schneiders sci
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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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PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION
Forum of Mathematics, Sigma, 2014 Plane wave solutions to the cubic nonlinear Schrödinger equation on a torus have recently been shown to behave orbitally stable. Under generic perturbations of the initial data that are small in a high-order Sobolev norm, plane waves are stable over long
ERWAN FAOU +2 more
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, 2012 In this paper, an efficient method is presented for solving two dimensional Fredholm and Volterra integral equations of the second kind. Chebyshev polynomials are applied to approximate a solution for these integral equations.
Z. Avazzadeh, M. Heydari
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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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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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Operational Tau approximation for a general class of fractional integro-differential equations
, 2011 In this work, an extension of the algebraic formulation of the operational Tau method (OTM) for the numerical solution of the linear and nonlinear fractional integro-differential equations (FIDEs) is proposed.
S. K. Vanani, A. Aminataei
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