Linearized difference schemes for a BBM equation with a fractional nonlocal viscous term
type: Item
instance of: scholarly article
title: Linearized difference schemes for a BBM equation with a fractional nonlocal viscous term
zbMATH Open document ID: 1427.65169
author: Xianqiang Yang
published in: Applied Mathematics and Computation
publication date: 2019-04-29T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 39B12
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7048787
zbMATH Keywords: fractional BBM equation
zbMATH Keywords: finite difference methods
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.amc.2017.05.022
OpenAlex ID: W2615942983
cites work: On nonlinear conservation laws with a nonlocal diffusion term
cites work: Q5522517
cites work: Interacting particle approximation for nonlocal quadratic evolution problems
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations
cites work: Long-time behavior of solutions of a BBM equation with generalized damping
cites work: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
cites work: Decay of solutions to a water wave model with a nonlocal viscous dispersive term
cites work: Decay of solutions to a viscous asymptotical model for waterwaves: Kakutani-Matsuuchi model
cites work: The discontinuous Galerkin method for fractal conservation laws
cites work: Local Discontinuous Galerkin methods for fractional diffusion equations
cites work: Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
cites work: A new approach for a nonlocal, nonlinear conservation law
cites work: A numerical method for fractal conservation laws
cites work: Q4924042
cites work: Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
cites work: Boundary particle method for Laplace transformed time fractional diffusion equations
cites work: Convergence of a stochastic particle approximation for fractional scalar conservation laws
cites work: Effect of viscosity of long gravity waves
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: High order schemes for the tempered fractional diffusion equations
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: Nonlinear Theory of Ion Acoustic Waves with Landau Damping
cites work: Riesz potential operators and inverses via fractional centred derivatives
cites work: Q4233638
cites work: Multigrid method for fractional diffusion equations
cites work: Q3251116
cites work: A finite difference method for a two-point boundary value problem with a Caputo fractional derivative
cites work: Q3141895
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
cites work: Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
cites work: A new finite difference scheme for generalized Rosenau-Burgers equation
cites work: Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
cites work: A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives
cites work: Finite difference/spectral approximations to a water wave model with a nonlocal viscous term
DOI: 10.1016/J.AMC.2017.05.022
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description: scientific article; zbMATH DE number 7048787