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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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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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AIMS Mathematics, 2021 In this paper, we present a linearized finite difference scheme and a compact finite difference scheme for the time fractional nonlinear diffusion-wave equations with space fourth order derivative based on their equivalent partial integro-differential ...
Emadidin Gahalla Mohmed Elmahdi +1 more
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Sixth-order compact finite difference method for solving KDV-Burger equation in the application of wave propagations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 Sixth-order compact finite difference method is presented for solving the one-dimensional KdV-Burger equation. First, the given solution domain is discretized using a uniform discretization grid point in a spatial direction. Then, using the Taylor series
K. Koroche, H. Chemeda
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Advances in Difference Equations, 2020 In this paper, a stochastic space fractional advection diffusion equation of Itô type with one-dimensional white noise process is presented. The fractional derivative is defined in the sense of Caputo.
N. H. Sweilam +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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A parallel compact-TVD method for compressible fluid dynamics employing shared and distributed-memory paradigms [PDF]
, 2011 A novel multi-block compact-TVD finite difference method for the simulation of compressible flows is presented. The method combines distributed and shared-memory paradigms to take advantage of the configuration of modern supercomputers that host many ...
Emerson, David +2 more
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Advances in Mathematical Physics, 2021 In this work, computational analysis of generalized Burger’s-Fisher and generalized Burger’s-Huxley equation is carried out using the sixth-order compact finite difference method.
Ravneet Kaur +3 more
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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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