A compact finite difference scheme with absorbing boundary condition for forced KdV equation [PDF]
MethodsX, 2023 Studying the long-time solution behavior of the Korteweg-de Vries (KdV) type equation with a periodic force acting at one end of the long channel is important for simulating the blood flow in artery driven by heart pulses.
Jiaqi Chen, Weizhong Dai
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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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A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model [PDF]
The Scientific World Journal, 2022 In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model
N. H. Sweilam +3 more
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Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions [PDF]
Journal of Function Spaces, 2020 In this paper, we first present the expression of a model of a fourth-order compact finite difference (CFD) scheme for the convection diffusion equation with variable convection coefficient.
Yan Gao, Songlin Liu
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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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Construction of invariant compact finite-difference schemes [PDF]
Physical Review E, 2020 In this paper we propose a method, which is based on equivariant moving frames, for development of high-order accurate invariant compact finite-difference schemes that preserve Lie symmetries of underlying partial differential equations. In this method, variable transformations that are obtained from the extended symmetry groups of partial differential
E. Ozbenli, P. Vedula
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On compact 4th order finite-difference schemes for the wave equation
Mathematical Modelling and Analysis, 2021 We consider compact finite-difference schemes of the 4th approximation order for an initial-boundary value problem (IBVP) for the n-dimensional nonhomogeneous wave equation, n≥ 1.
Alexander Zlotnik, Olga Kireeva
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High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations [PDF]
Journal of Applied and Computational Mechanics, 2019 In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is ...
Raziyeh Gharechahi +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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Numerical Solution of the Fredholm Integro-Differential Equations Using High-Order Compact Finite Difference Method [PDF]
مجلة التربية والعلم, 2023 This work aims to present a numerical method for solving Fredholm integro-differential equations (FIDE). This work discusses the use of a fourth and sixth-order compact finite difference method (CFDM) based on composite Boole’s rule to solve FIDE.
Surme R. Saber +2 more
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