Numerical analysis of a fast finite element method for a hidden-memory variable-order time-fractional diffusion equation
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Publication:2148111
DOI10.1007/s10915-022-01820-zOpenAlexW4226494956MaRDI QIDQ2148111
Jinhong Jia, Xiangcheng Zheng, Hong Wang
Publication date: 21 June 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01820-z
finite element methodoptimal-order error estimatedivide and conquervariable-order time-fractional diffusion equationhidden-memory
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Numerical analysis (65-XX)
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Cites Work
- Unnamed Item
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- A divide-and-conquer fast finite difference method for space-time fractional partial differential equation
- Galerkin finite element methods for parabolic problems
- A fast method for variable-order space-fractional diffusion equations
- Variable order and distributed order fractional operators
- A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions
- Analysis of a hidden memory variably distributed-order space-fractional diffusion equation
- Existence, uniqueness and regularity of the solution of the time-fractional Fokker-Planck equation with general forcing
- All-at-once method for variable-order time fractional diffusion equations
- Exponential-sum-approximation technique for variable-order time-fractional diffusion equations
- A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations
- Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces
- Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations
- Adaptive finite element method for fractional differential equations using hierarchical matrices
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Algorithms for the fractional calculus: a selection of numerical methods
- Wellposedness and regularity of the variable-order time-fractional diffusion equations
- Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Analysis of a Time-Stepping Scheme for Time Fractional Diffusion Problems with Nonsmooth Data
- A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation
- Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations
- Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
- An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- High Order Algorithms for the Fractional Substantial Diffusion Equation with Truncated Lévy Flights
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Subdiffusion with a time-dependent coefficient: Analysis and numerical solution
- Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub‐diffusion equations
