A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative
From MaRDI portal
Publication:6047557
DOI10.1007/s11075-023-01516-xzbMath1529.65016OpenAlexW4323073760MaRDI QIDQ6047557
Publication date: 12 September 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-023-01516-x
stability analysisconvergence ratetime-fractional Caputo derivativehigh-order numerical approachmultidimensional convection-diffusion-reaction equation
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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems, A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers equation, A positivity-preserving and robust fast solver for time-fractional convection-diffusion problems
Cites Work
- Unnamed Item
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- A new difference scheme for the time fractional diffusion equation
- High-order finite element methods for time-fractional partial differential equations
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
- Stability analysis of maccormack rapid solver method for evolutionary Stokes-Darcy problem
- Long time unconditional stability of a two-level hybrid method for nonstationary incompressible Navier-Stokes equations
- High order ADI method for solving unsteady convection-diffusion problems
- Finite difference approximations for fractional advection-dispersion flow equations
- Long time stability and convergence rate of MacCormack rapid solver method for nonstationary Stokes-Darcy problem
- 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
- Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model
- A two-level fourth-order approach for time-fractional convection-diffusion-reaction equation with variable coefficients
- A high-order compact exponential scheme for the fractional convection-diffusion equation
- An approximation scheme for the time fractional convection-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A fourth-order compact ADI method for solving two-dimensional unsteady convection--diffusion problems
- Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics
- A robust numerical two-level second-order explicit approach to predicting the spread of Covid-2019 pandemic with undetected infectious cases
- Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type
- A PDE Approach to Space-Time Fractional Parabolic Problems
- Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- A single cell high order scheme for the convection-diffusion equation with variable coefficients
- Numerical solutions for solute transport in unconfined aquifers
- Finite difference methods for solving the two-dimensional advection-diffusion equation
- Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations
- A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
- A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term
- A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation With Time Dependent Dispersion Coefficients and Source Terms
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation
