Results 11 to 20 of about 1,147,753 (236)
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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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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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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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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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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An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation [PDF]
Journal of Computational and Applied Mathematics, 2017 In this paper we propose and analyze an energy stable numerical scheme for the Cahn-Hilliard equation, with second order accuracy in time and the fourth order finite difference approximation in space.
Kelong Cheng +3 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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Applied Mathematics Letters, 2020 This paper aims to present a new second-order maximum-principle preserving finite difference scheme for Allen–Cahn equations with periodic boundary conditions.
T. Hou, Defeng Xiu, Wenzhu Jiang
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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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Mathematical Modelling and Analysis, 2012 This paper deals with the numerical solution of a two-dimensional thermoporoelasticity problem using a finite-difference scheme. Two issues are discussed: stability and convergence in discrete energy norms of the finite-difference scheme are proved, and ...
Natalia Boal +3 more
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