Linearized difference schemes for a BBM equation with a fractional nonlocal viscous term
From MaRDI portal
Publication:1739990
DOI10.1016/j.amc.2017.05.022zbMath1427.65169OpenAlexW2615942983MaRDI QIDQ1739990
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.05.022
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iteration theory, iterative and composite equations (39B12) Fractional partial differential equations (35R11)
Related Items
Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation ⋮ Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions ⋮ A nonuniform L2 formula of Caputo derivative and its application to a fractional Benjamin–Bona–Mahony‐type equation with nonsmooth solutions ⋮ A Crank-Nicolson linear difference scheme for a BBM equation with a time fractional nonlocal viscous term ⋮ A high-order linearized and compact difference method for the time-fractional Benjamin-Bona-Mahony equation ⋮ Numerical simulation of time fractional BBM-Burger equation using cubic B-spline functions ⋮ A high-order method with a temporal nonuniform mesh for a time-fractional Benjamin-Bona-Mahony equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time behavior of solutions of a BBM equation with generalized damping
- High order schemes for the tempered fractional diffusion equations
- Decay of solutions to a viscous asymptotical model for waterwaves: Kakutani-Matsuuchi model
- Multigrid method for fractional diffusion equations
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- Convergence of a stochastic particle approximation for fractional scalar conservation laws
- On nonlinear conservation laws with a nonlocal diffusion term
- Riesz potential operators and inverses via fractional centred derivatives
- A new finite difference scheme for generalized Rosenau-Burgers equation
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Decay of solutions to a water wave model with a nonlocal viscous dispersive term
- Numerical solution of the space fractional Fokker-Planck equation.
- Finite difference/spectral approximations to a water wave model with a nonlocal viscous term
- Finite difference approximations for fractional advection-dispersion flow equations
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- Boundary particle method for Laplace transformed time fractional diffusion equations
- Finite difference approximations for two-sided space-fractional partial differential equations
- Effect of Viscosity on Long Gravity Waves
- A New Approach for a Nonlocal, Nonlinear Conservation Law
- The discontinuous Galerkin method for fractal conservation laws
- A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives
- A numerical method for fractal conservation laws
- Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- A class of second order difference approximations for solving space fractional diffusion equations
- A finite difference method for a two-point boundary value problem with a Caputo fractional derivative
- Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
- Local Discontinuous Galerkin methods for fractional diffusion equations
- Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
- Nonlinear Theory of Ion Acoustic Waves with Landau Damping
- Model equations for long waves in nonlinear dispersive systems
