A high-order method with a temporal nonuniform mesh for a time-fractional Benjamin-Bona-Mahony equation
DOI10.1007/s10915-019-00991-6zbMath1428.35461OpenAlexW2951384527WikidataQ127652727 ScholiaQ127652727MaRDI QIDQ2330673
Publication date: 22 October 2019
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-019-00991-6
Smoothness and regularity of solutions to PDEs (35B65) Numerical methods for integral equations (65R20) KdV equations (Korteweg-de Vries equations) (35Q53) 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) Numerical interpolation (65D05) Volterra integral equations (45D05) Fractional partial differential equations (35R11)
Related Items (27)
Cites Work
- Unnamed Item
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- A new difference scheme for the time fractional diffusion equation
- Numerical approximation of distributed order reaction-diffusion equations
- Too much regularity may force too much uniqueness
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Solving the fractional BBM-Burgers equation using the homotopy analysis method
- A second-order accurate numerical method for a fractional wave equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Finite difference/spectral approximations to a water wave model with a nonlocal viscous term
- A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations
- A fitted scheme for a Caputo initial-boundary value problem
- Unconditional convergence in maximum-norm of a second-order linearized scheme for a time-fractional Burgers-type equation
- A linearized second-order finite difference scheme for time fractional generalized BBM equation
- Linearized difference schemes for a BBM equation with a fractional nonlocal viscous term
- Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain
- Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
- Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
- The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
- The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
- Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
- Existence and Uniqueness for Periodic Solutions of the Benjamin–Bona–Mahony Equation
- A linearized and second‐order unconditionally convergent scheme for coupled time fractional Klein‐Gordon‐Schrödinger equation
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
- A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
- A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
- Model equations for long waves in nonlinear dispersive systems
- Analysis of fractional differential equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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