Two-grid algorithms based on FEM for nonlinear time-fractional wave equations with variable coefficient
DOI10.1016/j.camwa.2023.04.040OpenAlexW4377018123MaRDI QIDQ6104837
Publication date: 28 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.04.040
stabilityconvergencefinite element\(L1\) approximationtwo-gridnonlinear time-fractional wave equation
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Cites Work
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- A two-grid finite element approximation for a nonlinear time-fractional Cable equation
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations
- A two-grid method for finite volume element approximations of second-order nonlinear hyperbolic equations
- On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
- Two-grid mixed finite element method for nonlinear hyperbolic equations
- A two-grid block-centered finite difference method for the nonlinear time-fractional parabolic equation
- A two-grid finite element method for a second-order nonlinear hyperbolic equation
- Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations
- Two-grid methods for semilinear time fractional reaction diffusion equations by expanded mixed finite element method
- A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation
- A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation
- Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
- A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Two-grid methods for nonlinear time fractional diffusion equations by \(L 1\)-Galerkin FEM
- Mixed finite element algorithm for a nonlinear time fractional wave model
- Some temporal second order difference schemes for fractional wave equations
- Time Discretization of an Integro-Differential Equation of Parabolic Type
- A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- A Two-Grid Finite Element Method for Nonlinear Sobolev Equations
- A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation
- Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations
- An Improved Two-Grid Technique for the Nonlinear Time-Fractional Parabolic Equation Based on the Block-Centered Finite Difference Method
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- The Mathematical Theory of Finite Element Methods
- Galerkin Finite Element Methods for Parabolic Problems
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