Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations
From MaRDI portal
Publication:2060639
DOI10.1016/J.CNSNS.2021.106073OpenAlexW3210301292MaRDI QIDQ2060639
Publication date: 13 December 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106073
adaptive strategiesCaputo fractional derivativeL1 finite difference methodfractional advection-diffusion-reaction equation
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) General theory for ordinary differential equations (34Axx)
Related Items (6)
Efficient numerical simulations based on an explicit group approach for the time fractional advection-diffusion reaction equation ⋮ A robust higher-order numerical technique with graded and harmonic meshes for the time-fractional diffusion-advection-reaction equation ⋮ A fast preconditioning iterative method for solving the discretized second-order space-fractional advection-diffusion equations ⋮ Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation ⋮ Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations ⋮ A positivity-preserving and robust fast solver for time-fractional convection-diffusion problems
Cites Work
- Solution to the linear fractional differential equation using Adomian decomposition method
- Homotopy perturbation method for nonlinear partial differential equations of fractional order
- Fractional functional differential equations with causal operators in Banach spaces
- Adomian decomposition: a tool for solving a system of fractional differential equations
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- Numerical solution of fractional order differential equations by extrapolation
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Detailed error analysis for a fractional Adams method with graded meshes
- Lie symmetry analysis and exact solution of certain fractional ordinary differential equations
- Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations
- Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term
- Application of Adomian decomposition method to nonlinear systems
- Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
- Implicit-explicit time integration of nonlinear fractional differential equations
- Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations
- A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation
- Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions
- Stability and convergence of a finite volume method for the space fractional advection-dispersion equation
- Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions
- Short memory principle and a predictor-corrector approach for fractional differential equations
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
- A finite difference method with non-uniform timesteps for fractional diffusion equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A monotone finite volume method for time fractional Fokker-Planck equations
- On shifted Jacobi spectral approximations for solving fractional differential equations
- Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
- A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- The numerical solution of fractional differential equations: speed versus accuracy
- Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations
