Results 11 to 20 of about 1,089,385 (313)
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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Exact and nonstandard finite difference schemes for the generalized KdV–Burgers equation
Advances in Difference Equations, 2020 We consider the generalized KdV–Burgers KdVB ( p , m , q ) $\operatorname{KdVB}(p,m,q)$ equation. We have designed exact and consistent nonstandard finite difference schemes (NSFD) for the numerical solution of the KdVB ( 2 , 1 , 2 ) $\operatorname{KdVB}(
C. Koroglu
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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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Fractal and Fractional, 2022 In this paper, a numerical analysis of the oscillation equation with a derivative of a fractional variable Riemann–Liouville order in the dissipative term, which is responsible for viscous friction, is carried out.
Valentine Aleksandrovich Kim +1 more
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The convergence of a numerical method for total variation flow
Journal of Algorithms & Computational Technology, 2021 We present a convergence analysis for a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fetami model.
Qianying Hong +2 more
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A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods [PDF]
, 2008 We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids.
Eymard R. +4 more
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