Two unconditionally stable difference schemes for time distributed-order differential equation based on Caputo-Fabrizio fractional derivative
DOI10.1186/s13662-020-2514-5zbMath1487.65119OpenAlexW3032512614WikidataQ115241285 ScholiaQ115241285MaRDI QIDQ2144042
Aijie Cheng, Haili Qiao, Zhengguang Liu
Publication date: 1 June 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-2514-5
numerical experimentsstability and convergencecompact finite differenceCaputo-Fabrizio derivativesdistributed-order
Fractional derivatives and integrals (26A33) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
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Cites Work
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- A preconditioned fast finite difference method for space-time fractional partial differential equations
- A compact finite difference scheme for the fractional sub-diffusion equations
- A divide-and-conquer fast finite difference method for space-time fractional partial differential equation
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients
- Fractional diffusion equations by the Kansa method
- Two temporal second-order \(H^1\)-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations
- A Legendre collocation method for distributed-order fractional optimal control problems
- Finite difference and Legendre spectral method for a time-fractional diffusion-convection equation for image restoration
- Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations
- A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
- POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification
- An approximate solution for a fractional diffusion-wave equation using the decomposition method
- Fractional derivatives with no-index law property: application to chaos and statistics
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- Mathematical analysis of dengue fever outbreak by novel fractional operators with field data
- An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions
- Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu
- Modeling attractors of chaotic dynamical systems with fractal-fractional operators
- Retracted: New numerical method for ordinary differential equations: Newton polynomial
- Fractional-order uniaxial visco-elasto-plastic models for structural analysis
- Aspects of an adaptive finite element method for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver
- Time-fractional diffusion equation in the fractional Sobolev spaces
- Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation
- Distributed-order fractional constitutive stress-strain relation in wave propagation modeling
- Wellposedness and regularity of the variable-order time-fractional diffusion equations
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- Fractional modeling of blood ethanol concentration system with real data application
- A fast‐high order compact difference method for the fractional cable equation
- Distributed-order wave equations with composite time fractional derivative
- Fractional-order modelling and simulation of human ear
- A Eulerian–Lagrangian control volume method for solute transport with anomalous diffusion
- Numerical Analysis
- Stochastic models for fractional calculus
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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