Fast numerical solvers for subdiffusion problems with spatial interfaces
DOI10.4208/IJNAM2024-1017zbMATH Open1543.65141MaRDI QIDQ6566698
Yonghai Li, Boyang Yu, Jiangguo Liu
Publication date: 3 July 2024
Published in: International Journal of Numerical Analysis and Modeling (Search for Journal in Brave)
subdiffusioninterface problemsfast numerical solversCaputo and Riemann-Liouville derivativesfractional-order fluxessum of exponentials (SOE)
Diffusion (76R50) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Complexity and performance of numerical algorithms (65Y20) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Title not available (Why is that?)
- A new fully discrete finite difference/element approximation for fractional cable equation
- A new difference scheme for the time fractional diffusion equation
- Central symmetric solution to the Neumann problem for a time-fractional diffusion-wave equation in a sphere
- Numerical approximation of an interface problem for fractional in time diffusion equation
- Numerical analysis and physical simulations for the time fractional radial diffusion equation
- Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
- Convolution quadrature and discretized operational calculus. I
- Convolution quadrature and discretized operational calculus. II
- Fast numerical solution of weakly singular Volterra integral equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A fast algorithm for solving the space-time fractional diffusion equation
- Convolution quadrature revisited
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- A Gauss-Jacobi kernel compression scheme for fractional differential equations
- An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media
- Solving anisotropic subdiffusion problems in annuli and shells
- Approximation by exponential sums revisited
- Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative
- An efficient numerical solver for anisotropic subdiffusion problems
- A monolithic arbitrary Lagrangian-Eulerian finite element analysis for a Stokes/parabolic moving interface problem
- Finite difference/spectral approximations for the time-fractional diffusion equation
- High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations
- On approximation of functions by exponential sums
- An efficient algorithm for the evaluation of convolution integrals
- Fast Nyström Methods for Parabolic Boundary Integral Equations
- A Kernel Compression Scheme for Fractional Differential Equations
- An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements
- Discretized Fractional Calculus
- Fast Numerical Solution of Nonlinear Volterra Convolution Equations
- A Simple Mesh Generator in MATLAB
- A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations
- Fractional thermoelasticity problem for an infinite solid with a penny-shaped crack under prescribed heat flux across its surfaces
- Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations
- A Fast High Order Method for the Time-Fractional Diffusion Equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Moving boundary problems governed by anomalous diffusion
- The numerical solution of fractional differential equations: speed versus accuracy
- A fast temporal second‐order difference scheme for the time‐fractional subdiffusion equation
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