A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients
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Publication:6087705
DOI10.1002/num.22571arXiv1909.07064OpenAlexW3096050333WikidataQ115397753 ScholiaQ115397753MaRDI QIDQ6087705
Pin Lyu, Ting-Zhu Huang, Yong-Liang Zhao, Xian-Ming Gu, Bruno Carpentieri
Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.07064
fast Fourier transformKrylov subspace methodimplicit difference schemegeneralized Caputo fractional derivativeGTSFDEsWSGD
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Cites Work
- Unnamed Item
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- An efficient Chebyshev-tau method for solving the space fractional diffusion equations
- High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives
- Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation
- Numerical and analytical solutions of new generalized fractional diffusion equation
- Preconditioned iterative methods for fractional diffusion equation
- Tempered fractional calculus
- A circulant preconditioner for fractional diffusion equations
- Preconditioned iterative methods for space-time fractional advection-diffusion equations
- A fourth-order approximation of fractional derivatives with its applications
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- A new fractional finite volume method for solving the fractional diffusion equation
- Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients
- High order algorithm for the time-tempered fractional Feynman-Kac equation
- Well-posedness and numerical approximation of tempered fractional terminal value problems
- A fast numerical method for block lower triangular Toeplitz with dense Toeplitz blocks system with applications to time-space fractional diffusion equations
- The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations
- On a second order scheme for space fractional diffusion equations with variable coefficients
- Efficient preconditioner of one-sided space fractional diffusion equation
- Circulants, displacements and decompositions of matrices
- Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
- A preconditioned fast parareal finite difference method for space-time fractional partial differential equation
- A fast solver for multidimensional time-space fractional diffusion equation with variable coefficients
- Convergence analysis of moving finite element methods for space fractional differential equations
- A note on the stability of a second order finite difference scheme for space fractional diffusion equations
- Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension
- An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients
- A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions
- A preconditioned fast quadratic spline collocation method for two-sided space-fractional partial differential equations
- A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation
- The accuracy and stability of CN-WSGD schemes for space fractional diffusion equation
- Numerical approaches to the functional distribution of anomalous diffusion with both traps and flights
- Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
- Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel
- Finite difference approximations for two-sided space-fractional partial differential equations
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Fast Iterative Solvers for Linear Systems Arising from Time-Dependent Space-Fractional Diffusion Equations
- A Chebyshev PseudoSpectral Method to Solve the Space-Time Tempered Fractional Diffusion Equation
- High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Boundary Problems for the Fractional and Tempered Fractional Operators
- High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations
- Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations
- Устойчивость и сходимость разностных схем для уравнения диффузии дискретно-распределенного порядка с обобщенными функциями памяти
- Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
