A second-order accurate scheme for two-dimensional space fractional diffusion equations with time Caputo-Fabrizio fractional derivative
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Publication:2301395
DOI10.1016/j.apnum.2020.01.007zbMath1441.35259arXiv1903.02720OpenAlexW2999550712MaRDI QIDQ2301395
Publication date: 24 February 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.02720
PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)
Related Items (6)
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method ⋮ Two new approximations to Caputo–Fabrizio fractional equation on non-uniform meshes and its applications ⋮ An efficient explicit decoupled group method for solving two-dimensional fractional Burgers' equation and its convergence analysis ⋮ A fast and high-order numerical method for nonlinear fractional-order differential equations with non-singular kernel ⋮ On rotated grid point iterative method for solving 2D fractional reaction–subdiffusion equation with Caputo–Fabrizio operator ⋮ A second-order accurate scheme for two-dimensional space fractional diffusion equations with time Caputo-Fabrizio fractional derivative
Cites Work
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- Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation
- Controlling the wave movement on the surface of shallow water with the Caputo-Fabrizio derivative with fractional order
- A high-order compact finite difference scheme for the fractional sub-diffusion equation
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation
- A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation
- Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
- On the new properties of Caputo-Fabrizio operator and its application in deriving shifted Legendre operational matrix
- Magnetohydrodynamic electroosmotic flow of Maxwell fluids with Caputo-Fabrizio derivatives through circular tubes
- A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative
- Numerical approach of Fokker-Planck equation with Caputo-Fabrizio fractional derivative using Ritz approximation
- New discretization of Caputo-Fabrizio derivative
- Trinition the complex number with two imaginary parts: fractal, chaos and fractional calculus
- Effect of fractional derivatives on transient MHD flow and radiative heat transfer in a micro-parallel channel at high zeta potentials
- Natural convection flows and heat transfer with exponential memory of a Maxwell fluid with damped shear stress
- Modeling attractors of chaotic dynamical systems with fractal-fractional operators
- A second-order accurate scheme for two-dimensional space fractional diffusion equations with time Caputo-Fabrizio fractional derivative
- Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Discretized Fractional Calculus
- Solving FDEs with Caputo‐Fabrizio derivative by operational matrix based on Genocchi polynomials
- Stability of a finite volume element method for the time‐fractional advection‐diffusion equation
- Discretized fractional substantial calculus
- Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations
- More generalized groundwater model with space‐time caputo Fabrizio fractional differentiation
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