Analysis and numerical methods for the Riesz space distributed-order advection-diffusion equation with time delay
DOI10.1007/S40324-019-00192-ZzbMath1446.35249OpenAlexW2953645012WikidataQ127707901 ScholiaQ127707901MaRDI QIDQ2301152
Mohammad Javidi, Mahdi Saedshoar Heris
Publication date: 28 February 2020
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-019-00192-z
Riesz fractional derivativesdistributed-order equationfractional backward differential formulasstable and convergent
Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
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Cites Work
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- Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations
- Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On FBDF5 method for delay differential equations of fractional order with periodic and anti-periodic conditions
- On fractional backward differential formulas methods for fractional differential equations with delay
- Finite difference approximations for fractional advection-dispersion flow equations
- Analytical solution of a fractional differential equation in the theory of viscoelastic fluids
- Stability regions for fractional differential systems with a time delay
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
- Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
- On fractional backward differential formulas for fractional delay differential equations with periodic and anti-periodic conditions
- Some high-order difference schemes for the distributed-order differential equations
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
- Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
- Distributed-order fractional diffusions on bounded domains
- Analysis and numerical methods for fractional differential equations with delay
- A second-order accurate numerical approximation for the fractional diffusion equation
- Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I
- Natural and Modified Forms of Distributed-Order Fractional Diffusion Equations
- A class of second order difference approximations for solving space fractional diffusion equations
- Finite difference method for time-space-fractional Schrödinger equation
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