A positivity-preserving and robust fast solver for time-fractional convection-diffusion problems
DOI10.1007/s10915-024-02454-zMaRDI QIDQ6191361
Yonghai Li, Jiangguo Liu, Boyang Yu
Publication date: 9 February 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
finite volume methodupwindingpositivity-preservingCaputo derivativesfast numerical solvertime-fractional convection-diffusion
Numerical computation of solutions to systems of equations (65H10) Diffusion (76R50) Fractional derivatives and integrals (26A33) 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) Rate of convergence, degree of approximation (41A25) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Unnamed Item
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
- Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids
- A new difference scheme for the time fractional diffusion equation
- The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
- Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- A Gauss-Jacobi kernel compression scheme for fractional differential equations
- The role of fractional calculus in modeling biological phenomena: a review
- Coupling Arbogast-Correa and Bernardi-Raugel elements to resolve coupled Stokes-Darcy flow problems
- Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations
- A high-order numerical scheme based on graded mesh and its analysis for the two-dimensional time-fractional convection-diffusion equation
- A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes
- A two-level fourth-order approach for time-fractional convection-diffusion-reaction equation with variable coefficients
- A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs
- Finite difference/finite element method for tempered time fractional advection-dispersion equation with fast evaluation of Caputo derivative
- A new collection of real world applications of fractional calculus in science and engineering
- Approximation by exponential sums revisited
- The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes
- An approximation scheme for the time fractional convection-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations
- A monotone finite volume method for time fractional Fokker-Planck equations
- An efficient algorithm for the evaluation of convolution integrals
- Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems
- A new high order ADI numerical difference formula for time-fractional convection-diffusion equation
- Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign
- A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
- A Kernel Compression Scheme for Fractional Differential Equations
- On nonnegativity preservation in finite element methods for subdiffusion equations
- Fractional Calculus in Medical and Health Science
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- A Fast High Order Method for the Time-Fractional Diffusion Equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Numerical Methods for the Time Fractional Convection-Diffusion-Reaction Equation
- Numerical methods for nonlocal and fractional models
- The numerical solution of fractional differential equations: speed versus accuracy
- A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative
- A fast temporal second‐order difference scheme for the time‐fractional subdiffusion equation
- A corrected \(\mathrm{L}1\) method for a time-fractional subdiffusion equation
- A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation
- A new positive finite volume scheme for two‐dimensional convection‐diffusion equation
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