Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings
From MaRDI portal
Publication:2666336
DOI10.1016/j.matcom.2021.07.006OpenAlexW3184158201WikidataQ114149958 ScholiaQ114149958MaRDI QIDQ2666336
Ahmed S. Hendy, Mostafa Abbaszadeh, Mahmoud A. Zaky
Publication date: 22 November 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.07.006
dissipativityRobin boundaryCaputo time-fractional diffusion equationGrönwall inequalitiesnumerical-dissipative scheme
Related Items (4)
Structure preserving numerical analysis of reaction-diffusion models ⋮ Error estimate and stability analysis on the study of a high-order nonlinear fractional differential equation with Caputo-derivative and integral boundary condition ⋮ The long time error estimates for the second order backward difference approximation to sub-diffusion equations with boundary time delay and feedback gain ⋮ Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows
Cites Work
- Unnamed Item
- Unnamed Item
- A priori estimates for solutions of boundary value problems for fractional-order equations
- Dissipativity and contractivity for fractional-order systems
- Dissipativity of semilinear time fractional subdiffusion equations and numerical approximations
- The impact of Chebyshev collocation method on solutions of fractional advection-diffusion equation
- Analysis of a high-order compact finite difference method for Robin problems of time-fractional sub-diffusion equations with variable coefficients
- Numerical solution of Caputo fractional differential equations with infinity memory effect at initial condition
- A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations
- High-order central difference scheme for Caputo fractional derivative
- A modified integral discretization scheme for a two-point boundary value problem with a Caputo fractional derivative
- Boundary value problems for the diffusion equation of the variable order in differential and difference settings
- On the Stability of Linear Multistep Methods for Volterra Convolution Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- Dissipativity and Contractivity Analysis for Fractional Functional Differential Equations and their Numerical Approximations
- Fractional generalization of gradient and Hamiltonian systems
- Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation
This page was built for publication: Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings