Fractional pseudo-spectral methods for distributed-order fractional PDEs
DOI10.1080/00207160.2017.1421949OpenAlexW2782391857MaRDI QIDQ5026515
Mohsen Zayernouri, Ehsan Kharazmi
Publication date: 8 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2017.1421949
spectral convergencenonlinear FPDEspre-conditionersdistributed Sobolev spacefractional Lagrange bases of first and second kind
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Spectral theory; eigenvalue problems on manifolds (58C40) Miscellaneous topics in partial differential equations (35Rxx)
Related Items (23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
- Numerical techniques for the variable-order time fractional diffusion equation
- Numerical approximation of distributed order reaction-diffusion equations
- Fractional calculus in viscoelasticity: an experimental study
- On the numerical solutions for the fractional diffusion equation
- A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations
- Some aspects of fractional diffusion equations of single and distributed order
- A numerical method for solving distributed order diffusion equations
- Numerical analysis for distributed-order differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A review of applications of fractional calculus in Earth system dynamics
- Time fractional diffusion: A discrete random walk approach
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations
- Deterministic analysis of distributed order systems using operational matrix
- Fractional-order uniaxial visco-elasto-plastic models for structural analysis
- A Petrov-Galerkin spectral element method for fractional elliptic problems
- A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures
- 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
- Fractional Adams-Bashforth/Moulton methods: an application to the fractional Keller-Segel chemotaxis system
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A high order schema for the numerical solution of the fractional ordinary differential equations
- A fully discrete difference scheme for a diffusion-wave system
- Numerical solution of fractional integro-differential equations by collocation method
- Generalized Jacobi functions and their applications to fractional differential equations
- Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations
- Variational solution of fractional advection dispersion equations on bounded domains in ℝd
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- Time distributed-order diffusion-wave equation. I. Volterra-type equation
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Tempered Fractional Sturm--Liouville EigenProblems
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- A Petrov--Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line
- Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations
- Power-law rheology in the bulk and at the interface: quasi-properties and fractional constitutive equations
- Fractional Spectral Collocation Method
- Variational formulation for the stationary fractional advection dispersion equation
- Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves
This page was built for publication: Fractional pseudo-spectral methods for distributed-order fractional PDEs