A numerical solution for a class of time fractional diffusion equations with delay
From MaRDI portal
Publication:1676185
DOI10.1515/amcs-2017-0033zbMath1373.35334OpenAlexW2760379988MaRDI QIDQ1676185
Vladimir G. Pimenov, Ahmed S. Hendy
Publication date: 6 November 2017
Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/amcs-2017-0033
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)
Related Items (12)
Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations ⋮ Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation ⋮ Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains ⋮ A novel linearized Galerkin finite element scheme with fractional Crank–Nicolson method for the nonlinear coupled delay subdiffusion system with smooth solutions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay ⋮ A conservative scheme with optimal error estimates for a multidimensional space-fractional Gross-Pitaevskii equation ⋮ Chebyshev polynomials of sixth kind for solving nonlinear fractional PDEs with proportional delay and its convergence analysis ⋮ A numerical technique for solving various kinds of fractional partial differential equations via Genocchi hybrid functions ⋮ A fast second-order implicit scheme for non-linear time-space fractional diffusion equation with time delay and drift term ⋮ An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity
- Maximum norm error analysis of difference schemes for fractional diffusion equations
- Controllability criteria for time-delay fractional systems with a retarded state
- A new difference scheme for the time fractional diffusion equation
- A linearized compact difference scheme for a class of nonlinear delay partial differential equations
- Time delay in physiological systems: analyzing and modeling its impact
- On a class of non-linear delay distributed order fractional diffusion equations
- A difference scheme for multidimensional transfer equations with time delay
- Attractivity of fractional functional differential equations
- A finite difference scheme for semilinear space-fractional diffusion equations with time delay
- Theory of fractional functional differential equations
- A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
- Periodic solutions in an epidemic model with diffusion and delay
- Stability analysis for a fractional differential model of HIV infection of CD4\(^{+}\) T-cells with time delay
- Waiting-times and returns in high-frequency financial data: An empirical study
- Finite difference approximations for fractional advection-dispersion flow equations
- A discrete stochastic Gronwall lemma
- Numerical simulations of traveling wave solutions in a drift paradox inspired diffusive delay population model
- A new difference scheme for time fractional heat equations based on the Crank-Nicholson method
- An age-structured mathematical model for the within host dynamics of malaria and the immune system
- Numerical studies for fractional functional differential equations with delay based on BDF-type shifted Chebyshev approximations
- On the controllability of fractional dynamical systems
- Fractional diffusion and wave equations
- Computational methods for delay parabolic and time-fractional partial differential equations
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- The fractional diffusion equation
- Numerical Methods for Delay Differential Equations
This page was built for publication: A numerical solution for a class of time fractional diffusion equations with delay
