A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo-Fabrizio operator
DOI10.1007/s40096-020-00346-5zbMath1473.65089OpenAlexW3046996470MaRDI QIDQ2041151
N. Abdi, Hossein Aminikhah, Amirhossein Refahi Sheikhani, Javad Alavi
Publication date: 15 July 2021
Published in: Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40096-020-00346-5
finite difference methodcompact schemealternating direction implicit methodCaputo-Fabrizio operator3D time-fractional diffusion equation
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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- Implicit finite difference method for fractional percolation equation with Dirichlet and fractional boundary conditions
- Necessary and sufficient condition for a VMO function
- An implicit RBF meshless approach for time fractional diffusion equations
- Characteristic fractional step finite difference method for nonlinear section coupled system
- Compact finite difference method for the fractional diffusion equation
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem
- Fourth-order compact finite difference method for solving two-dimensional convection-diffusion equation
- A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative
- Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
- A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations
- A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations
- A finite element approximation for a class of Caputo time-fractional diffusion equations
- A meshless local collocation method for time fractional diffusion wave equation
- Stability and convergence of compact finite difference method for parabolic problems with delay
- A sixth-order compact finite difference method for non-classical vibration analysis of nanobeams including surface stress effects
- A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
- Non standard finite difference method for solving variable order fractional optimal control problems
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition
- Ground state solutions of p-Laplacian singular Kirchhoff problem involving a Riemann-Liouville fractional derivative
- Ulam stability for delay fractional differential equations with a generalized Caputo derivative
- Fractional Calculus and Fractional Differential Equations
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Applications in Engineering, Life and Social Sciences, Part B
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