Results 1 to 10 of about 64,290 (211)
Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations [PDF]
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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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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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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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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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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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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A Mixed Finite Differences Scheme for Gradient Approximation [PDF]
Journal of Optimization Theory and Applications, 2022 AbstractIn this paper, we focus on the linear functionals defining an approximate version of the gradient of a function. These functionals are often used when dealing with optimization problems where the computation of the gradient of the objective function is costly or the objective function values are affected by some noise.
Marco Boresta +3 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 ...
Lucien Vienne, Emmanuel Lévêque
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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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