Results 1 to 10 of about 682,039 (286)
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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Journal of Applied Mathematics, 2014 We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
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Numerical solutions for a class stochastic partial differential equations [PDF]
Journal of Mahani Mathematical Research, 2023 The aim of this manuscript is to introduce and analyze a stochastic finite difference scheme for Ito stochastic partial differential equations. We also discuss the consistency, stability, and convergence for the stochastic finite difference scheme.
Mehdi Karami +4 more
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Recursive finite-difference Lattice Boltzmann schemes [PDF]
Computers & Mathematics with Applications, 2021 The motivation of this study is twofold. First, a recursive mathematical formulation of the discrete-velocity Boltzmann equation (DVBE) under the Bhatnagar-Gross-Krook (BGK) approximation is introduced. This formulation allows us to formally express the solution of the DVBE as an infinite sum over successive particle derivatives of the distributions ...
Vienne, Lucien, Lévêque, Emmanuel
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Fractal and Fractional, 2023 The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
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Generalized finite-difference schemes [PDF]
Mathematics of Computation, 1969 Finite-difference schemes for initial boundary-value problems for partial differential equations lead to systems of equations which must be solved at each time step. Other methods also lead to systems of equations. We call a method a generalized finite-difference scheme if the matrix of coefficients of the system is sparse.
Swartz, B., Wendroff, B.
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A Generalized Finite Difference Scheme for Multiphase Flow
Mathematical and Computational Applications, 2023 This paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating multiphase flow. The method includes a dampening scheme that allows for large density ratio cases to be simulated.
Johannes C. Joubert +2 more
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Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation
Mathematics, 2022 In this study, our attention is focused on deriving integrals of motion (conservation laws; invariants) for the problem of an optical pulse propagation in an optical fiber containing an optical amplifier or attenuator because, to date, such invariants ...
Vyacheslav Trofimov +5 more
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FINITE-DIFFERENCE SCHEME FOR FRACTAL OSCILLATOR WITH A VARIABLE FRACTIONAL ORDER [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015 The paper deals with the explicit finite difference schemes for the fractional oscillator. The questions of approximation, stability and convergence of these schemes.
R.I. Parovik
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Catalytic flow with a coupled Finite Difference -- Lattice Boltzmann scheme [PDF]
, 2020 Many catalyst devices employ flow through porous structures, which leads to a complex macroscopic mass and heat transport. To unravel the detailed dynamics of the reactive gas flow, we present an all-encompassing model, consisting of thermal lattice ...
Berger, Daniel +3 more
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