On the stable implicit finite differences approximation of diffusion equation with the time fractional derivative without singular kernel
DOI10.1142/S1793557120501119zbMath1468.65112OpenAlexW2932494321MaRDI QIDQ4985438
Ali Taghavi, Alireza Mohammadpour, Afshin Babaei
Publication date: 23 April 2021
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557120501119
Transform methods (e.g., integral transforms) applied to PDEs (35A22) 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) Numerical integration (65D30) Fractional partial differential equations (35R11)
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Cites Work
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- Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
- Duplication in a model of rock fracture with fractional derivative without singular kernel
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Implicit finite difference approximation for time fractional diffusion equations
- A finite difference scheme for partial integro-differential equations with a weakly singular kernel
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Time fractional advection-dispersion equation
- Wright functions as scale-invariant solutions of the diffusion-wave equation
- Numerical approach of Fokker-Planck equation with Caputo-Fabrizio fractional derivative using Ritz approximation
- Time fractional diffusion: A discrete random walk approach
- Finite difference approximations for fractional advection-dispersion flow equations
- A finite difference method with non-uniform timesteps for fractional diffusion equations
- Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation
- Fractional diffusion and wave equations
- The fractional diffusion equation
- 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
- A stable numerical scheme for a time fractional inverse parabolic equation
- Reconstructing unknown nonlinear boundary conditions in a time‐fractional inverse reaction–diffusion–convection problem
- Fractional diffusion: probability distributions and random walk models
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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