A two-grid block-centered finite difference method for the nonlinear time-fractional parabolic equation
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Publication:1676927
DOI10.1007/S10915-017-0380-4zbMath1377.65106OpenAlexW2586612085MaRDI QIDQ1676927
Publication date: 10 November 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0380-4
convergenceerror estimatesnumerical experimentsnonlinearstability resultstime-fractional parabolic equationblock-centered finite difference
Initial-boundary value problems for second-order parabolic equations (35K20) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
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Cites Work
- A mixed finite element method for a time-fractional fourth-order partial differential equation
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- An explicit high order method for fractional advection diffusion equations
- Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
- Numerical methods and analysis for a class of fractional advection-dispersion models
- A second order explicit finite difference method for the fractional advection diffusion equation
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- High-order finite element methods for time-fractional partial differential equations
- Superconvergence for rectangular mixed finite elements
- Finite central difference/finite element approximations for parabolic integro-differential equations
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- A two-grid block-centered finite difference method for nonlinear non-Fickian flow model
- On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition
- Superconvergence of mixed finite element methods on rectangular domains
- Finite difference approximations for a fractional advection diffusion problem
- Mixed finite elements in \(\mathbb{R}^3\)
- A Crank-Nicolson difference scheme for the time variable fractional mobile-immobile advection-dispersion equation
- Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- Fractal calculus involving gauge function
- A parallel CGS block-centered finite difference method for a nonlinear time-fractional parabolic equation
- Numerical solution of a kind of fractional parabolic equations via two difference schemes
- A high order compact finite difference scheme for time fractional Fokker-Planck equations
- On the generalized Apostol-type Frobenius-Euler polynomials
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Well-posedness of fractional parabolic equations
- Block-centered finite difference methods for parabolic equation with time-dependent coefficient
- Two finite difference schemes for time fractional diffusion-wave equation
- A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
- Finite difference/spectral approximations for the fractional cable equation
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
- A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
- A Eulerian–Lagrangian control volume method for solute transport with anomalous diffusion
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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