Sixth-order compact finite difference method for singularly perturbed 1D reaction diffusion problems [PDF]
Journal of Taibah University for Science, 2017 In this paper, the sixth-order compact finite difference method is presented for solving singularly perturbed 1D reaction–diffusion problems. The derivative of the given differential equation is replaced by finite difference approximations.
Fasika Wondimu Gelu +2 more
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The Compact Finite Difference Method of Two-Dimensional Cattaneo Model [PDF]
Journal of Function Spaces, 2020 In this paper, we propose and analyze the compact finite difference scheme of the two-dimensional Cattaneo model. The stability and convergence of the scheme are proved by the energy method, the convergence orders are 2 in time and 4 in space.
Yating Huang, Zhe Yin
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Compact Finite Differences Method for FitzHugh-Nagumo Equation
Universal Journal of Mathematics and Applications, 2019 In this paper, we developed the compact finite differences method to find approximate solutions for the FitzHugh-Nagumo (F-N) equations. To the best of our knowledge, until now there is no compact finite difference solutions have been reported for the ...
Canan Akkoyunlu
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Stable finite difference method for fractional reaction–diffusion equations by compact implicit integration factor methods [PDF]
Advances in Difference Equations, 2021 In this paper we propose a stable finite difference method to solve the fractional reaction–diffusion systems in a two-dimensional domain. The space discretization is implemented by the weighted shifted Grünwald difference (WSGD) which results in a stiff
Rongpei Zhang +3 more
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A compact finite difference method for reaction–diffusion problems using compact integration factor methods in high spatial dimensions [PDF]
Advances in Difference Equations, 2018 This paper proposes and analyzes an efficient compact finite difference scheme for reaction–diffusion equation in high spatial dimensions. The scheme is based on a compact finite difference method (cFDM) for the spatial discretization.
Rongpei Zhang +3 more
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Fourth-order compact finite difference method for solving two-dimensional convection–diffusion equation [PDF]
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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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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An innovative meshless approach for solving 2D Allen-Cahn equations using the RBF-compact finite difference method [PDF]
Scientific ReportsThis paper presents a numerical meshless approach for solving the two-dimensional Allen-Cahn equation, utilizing a radial basis function-compact finite difference (RBF-CFD) method in combination with the Strang splitting technique.
Mojtaba Fardi +2 more
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A note on compact finite difference method for reaction–diffusion equations with delay
Applied Mathematical Modelling, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Dongfang +2 more
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Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 This paper aims to apply and investigate the compact finite difference methods for solving integer-order and fractional-order Riccati differential equations. The fractional derivative in the fractional case is described in the Caputo sense.
H. Porki, M. Arabameri, R. Gharechahi
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