Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation
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Publication:2059223
DOI10.1515/fca-2021-0062zbMath1498.65171OpenAlexW4205155454MaRDI QIDQ2059223
Xiangcheng Zheng, Jinhong Jia, Hong Wang
Publication date: 13 December 2021
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2021-0062
collocation methodToeplitz matrixfast methoddistributed-order space-fractional diffusion equationvariably distribution
Numerical methods for integral equations (65R20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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Cites Work
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- Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
- Numerical approximation of distributed order reaction-diffusion equations
- Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
- A fast method for variable-order space-fractional diffusion equations
- Some aspects of fractional diffusion equations of single and distributed order
- Numerical analysis for distributed-order differential equations
- A lower bound for the smallest singular value of a matrix
- A novel finite volume method for the Riesz space distributed-order diffusion equation
- A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains
- Variable order and distributed order fractional operators
- Integral equations. Theory and numerical treatment
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval
- A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation
- A fast finite volume method for conservative space-time fractional diffusion equations discretized on space-time locally refined meshes
- Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces
- A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis
- Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions
- Front propagation in reaction-diffusion systems with anomalous diffusion
- Adaptive finite element method for fractional differential equations using hierarchical matrices
- Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
- Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
- Some high-order difference schemes for the distributed-order differential equations
- A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations
- Regularity of the solution to 1-D fractional order diffusion equations
- A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations
- Variable-order space-fractional diffusion equations and a variable-order modification of constant-order fractional problems
- An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes
- Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations
- Variational formulation of problems involving fractional order differential operators
- Stochastic models for fractional calculus
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Stability of fractional-order systems with Prabhakar derivatives
