A parallel algorithm for space-time-fractional partial differential equations
DOI10.1186/s13662-020-02744-4zbMath1482.65196OpenAlexW3034831894MaRDI QIDQ2078488
Publication date: 28 February 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02744-4
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Uses Software
Cites Work
- A parareal method for time-fractional differential equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces
- On the stability of the unsmoothed Fourier method for hyperbolic equations
- On Mittag-Leffler-type functions in fractional evolution processes
- Numerical solution of fractional differential equations: a survey and a software tutorial
- High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations
- Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
- A review of definitions for fractional derivatives and integral
- Computational performance of simple and efficient sequential and parallel Dirac equation solvers
- Time fractional diffusion: A discrete random walk approach
- Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the \(2/3\) de-aliasing method
- Regarding new numerical solution of fractional schistosomiasis disease arising in biological phenomena
- A new exploration on existence of fractional neutral integro-differential equations in the concept of Atangana-Baleanu derivative
- Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
- On chain rule for fractional derivatives
- Approximation methods for solving fractional equations
- New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
- Towards perfectly matched layers for time-dependent space fractional PDEs
- A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers
- Thermo-viscoelastic materials with fractional relaxation operators
- Comparison of numerical methods for fractional differential equations
- Résolution d'EDP par un schéma en temps «pararéel »
- The Parareal in Time Algorithm Applied to the Kinetic Neutron Diffusion Equation
- A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- Basic Theory of Fractional Differential Equations
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Analysis of a Modified Parareal Algorithm for Second-Order Ordinary Differential Equations
- Fractional diffusion in inhomogeneous media
- Analysis of fractional differential equations
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