A new \(\alpha\)-robust nonlinear numerical algorithm for the time fractional nonlinear KdV equation
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Publication:6611946
DOI10.3934/CAM.2024007zbMATH Open1547.65143MaRDI QIDQ6611946
Caojie Li, Xuehua Yang, Haixiang Zhang
Publication date: 27 September 2024
Published in: Communications in Analysis and Mechanics (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
- An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations
- The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation
- The uniform \(l^1\) long-time behavior of time discretization for time-fractional partial differential equations with nonsmooth data
- A new perspective to discuss Korteweg-de Vries-like equation
- Second order difference schemes for time-fractional KdV-Burgers' equation with initial singularity
- Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution
- A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation
- Homotopy perturbation method for fractional KdV equation
- Homotopy perturbation method for fractional KdV-Burgers equation
- A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation
- An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Numerical solution to a linearized time fractional KdV equation on unbounded domains
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- A second-order BDF compact difference scheme for fractional-order Volterra equation
- Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes
- A second order convergent difference scheme for the initial‐boundary value problem of Korteweg–de Vires equation
- A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity
- INVESTIGATION OF THE TIME FRACTIONAL GENERALIZED (2 + 1)-DIMENSIONAL ZAKHAROV–KUZNETSOV EQUATION WITH SINGLE-POWER LAW NONLINEARITY
- An implicit robust numerical scheme with graded meshes for the modified Burgers model with nonlocal dynamic properties
- A pseudo‐operational collocation method for variable‐order time‐space fractional KdV–Burgers–Kuramoto equation
- On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations
- A nonlinear compact method based on double reduction order scheme for the nonlocal fourth-order PDEs with Burgers' type nonlinearity
- \(H^1\)-norm error analysis of a robust ADI method on graded mesh for three-dimensional subdiffusion problems
- On fractional symmetry group scheme to the higher-dimensional space and time fractional dissipative Burgers equation
- Pointwise-in-time \(\alpha\)-robust error estimate of the ADI difference scheme for three-dimensional fractional subdiffusion equations with variable coefficients
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