Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation
From MaRDI portal
Publication:6150007
DOI10.1016/j.camwa.2023.12.023OpenAlexW4390823915WikidataQ130132560 ScholiaQ130132560MaRDI QIDQ6150007
No author found.
Publication date: 5 March 2024
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.12.023
stabilityGalerkin mixed finite element methodnonlinear time fractional fourth-order hyperbolic wave equationsecond-order WSGD formulaunconditional error analysis
Cites Work
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions
- Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model
- Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system
- Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation
- New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
- Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- Unconditionally optimal \(H^1\)-norm error estimates of a fast and linearized Galerkin method for nonlinear subdiffusion equations
- Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media
- Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation
- A mixed virtual element method for the time-fractional fourth-order subdiffusion equation
- An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media
- A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
- Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations
- Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- Discretized Fractional Calculus
- Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method
- An efficient numerical treatment of fourth‐order fractional diffusion‐wave problems
- A class of second order difference approximations for solving space fractional diffusion equations
- A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity
- A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates
This page was built for publication: Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation