Accuracy and speed of splitting methods for three-dimensional space-time fractional diffusion equation with \(\psi\)-Caputo derivatives
From MaRDI portal
Publication:2664793
DOI10.1016/j.matcom.2021.04.004OpenAlexW3156033352MaRDI QIDQ2664793
Publication date: 18 November 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.04.004
finite-difference methodfractional differential equationsoptimal algorithmsplitting schemes\(\psi\)-Caputo derivative
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives
- A note on the finite element method for the space-fractional advection diffusion equation
- Generalized variational problems and Euler-Lagrange equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Metaheuristic optimization-based identification of fractional-order systems under stable distribution noises
- A note on short memory principle of fractional calculus
- Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model
- Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation
- On a numerical scheme for solving differential equations of fractional order
- A Caputo fractional derivative of a function with respect to another function
- Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
- High-order central difference scheme for Caputo fractional derivative
- On \(\psi \)-Caputo time fractional diffusion equations: extremum principles, uniqueness and continuity with respect to the initial data
- A fast finite-difference algorithm for solving space-fractional filtration equation with a generalised Caputo derivative
- A piecewise memory principle for fractional derivatives
- Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
- Identification of fractional water transport model with \(\psi \)-Caputo derivatives using particle swarm optimization algorithm
- A Kernel Compression Scheme for Fractional Differential Equations
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- The generalized Cattaneo equation for the description of anomalous transport processes
- On the generalized fractional derivatives and their Caputo modification
- A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations
- What is the best fractional derivative to fit data?
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- A New Approach to Generalized Fractional Derivatives
- A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions
- The fractional Fick's law for non-local transport processes
- The numerical solution of fractional differential equations: speed versus accuracy
This page was built for publication: Accuracy and speed of splitting methods for three-dimensional space-time fractional diffusion equation with \(\psi\)-Caputo derivatives
