Parallel finite-difference algorithms for three-dimensional space-fractional diffusion equation with \(\psi\)-Caputo derivatives
DOI10.1007/s40314-020-01191-xzbMath1449.35430OpenAlexW3033858338MaRDI QIDQ2190854
Publication date: 23 June 2020
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-01191-x
diffusionfinite-difference approximationparallel algorithmssplitting schemes\(\psi\)-Caputo derivativespace-fractional differential equation
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Fractional partial differential equations (35R11)
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Cites Work
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- 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
- Metaheuristic optimization-based identification of fractional-order systems under stable distribution noises
- 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
- A new computational approach for solving nonlinear local fractional PDEs
- A Caputo fractional derivative of a function with respect to another function
- A new fractional operator of variable order: application in the description of anomalous diffusion
- High-order central difference scheme for Caputo fractional derivative
- A fast finite-difference algorithm for solving space-fractional filtration equation with a generalised Caputo derivative
- Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
- 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
- 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
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