Results 21 to 30 of about 685,779 (325)
Alexandria Engineering Journal, 2020 In this paper, we implement the multidomain compact finite difference method to numerically study high dimensional chaos by considering the nine-dimensional Lorenz system.
J.N. Kouagou +2 more
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Long time error analysis of the fourth‐order compact finite difference methods for the nonlinear Klein–Gordon equation with weak nonlinearity [PDF]
Numerical Methods for Partial Differential Equations, 2020 We present the fourth‐order compact finite difference (4cFD) discretizations for the long time dynamics of the nonlinear Klein–Gordon equation (NKGE), while the nonlinearity strength is characterized by ϵp with a constant p ∈ ℕ+ and a dimensionless ...
Yue Feng
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Construction of Compact Finite Difference Schemes by Classic Differential Quadrature
Applied Sciences, 2017 Using classic differential quadrature formulae and uniform grids, this paper systematically constructs a variety of high-order finite difference schemes, and some of these schemes are consistent with the so-called boundary value methods.
Fangzong Wang, Mingshuai Pan, Yong Wang
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Direct Numerical Simulation of 2D Incompressible Boundary Layer Using Compact Finite Difference [PDF]
Fanāvarī-i āmūzish, 2008 The non-dimensional Navier stokes equations in rotational form for the boundary layer flow are solved using direct numerical simulation. The length scale and velocity scale of the base flow the boundary layer thickness and the inviscid velocity outside ...
M.J. Maghrebi +2 more
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On solving fractional mobile/immobile equation
Advances in Mechanical Engineering, 2017 In this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method.
Hossein Pourbashash +2 more
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Results in Applied Mathematics, 2021 Compact finite difference methods are very popular for solving differential equations that arise in a wide variety of real-world applications. Despite their popularity, the efficiency of these methods is limited by the need for matrix inversion which is ...
Amanuel Hossiso Gatiso +2 more
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High-order Compact Difference Schemes for the Modified Anomalous Subdiffusion Equation [PDF]
, 2015 In this paper, two kinds of high-order compact finite difference schemes for second-order derivative are developed. Then a second-order numerical scheme for Riemann-Liouvile derivative is established based on fractional center difference operator.
Ding, Hengfei, Li, Changpin
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Open Mathematics, 2017 This article presents a new method of solving partial differential equations. The method is an improvement of the previously reported compact finite difference quasilinearization method (CFDQLM) which is a combination of compact finite difference schemes
Dlamini P.G., Khumalo M.
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Advances in Difference Equations, 2018 A fourth-order compact finite difference scheme of the two-dimensional convection–diffusion equation is proposed to solve groundwater pollution problems.
Lingyu Li, Ziwen Jiang, Zhe Yin
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Effective Mass and Energy Recovery by Conserved Compact Finite Difference Schemes
IEEE Access, 2018 This paper is concerned with mass and energy recovery by some conserved compact finite difference schemes for the nonlinear Schrödinger-Poisson equations.
Xiujun Cheng, Xiaoli Chen, Dongfang Li
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