Maximum norm error estimates of ADI methods for a two-dimensional fractional subdiffusion equation
From MaRDI portal
Publication:2248422
DOI10.1155/2013/293706zbMath1291.65275OpenAlexW2149761259WikidataQ58918825 ScholiaQ58918825MaRDI QIDQ2248422
Publication date: 26 June 2014
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/293706
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)
Related Items (4)
Characteristic roots of a class of fractional oscillators ⋮ Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space ⋮ A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method ⋮ Obtaining artificial boundary conditions for fractional sub-diffusion equation on space two-dimensional unbounded domains
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- An implicit RBF meshless approach for time fractional diffusion equations
- Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
- A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions
- Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
- Essay on fractional Riemann-Liouville integral operator versus Mikusinski's
- A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions
- Random-order fractional differential equation models
- Exact solution of impulse response to a class of fractional oscillators and its stability
- A compact finite difference scheme for the fractional sub-diffusion equations
- An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations
- Compact finite difference method for the fractional diffusion equation
- Approximating ideal filters by systems of fractional order
- Finite difference approximations for the fractional Fokker-Planck equation
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- Numerical solutions for fractional reaction-diffusion equations
- ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation
- Some applications of fractional calculus in engineering
- Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Numerical simulations of 2D fractional subdiffusion problems
- A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Solving Abel's type integral equation with Mikusinski's operator of fractional order
- Entropy and multifractality for the myeloma multiple TET 2 gene
- Fractional calculus and Shannon wavelet
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Weighted average finite difference methods for fractional diffusion equations
- Finite difference methods for two-dimensional fractional dispersion equation
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
- An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation
- Numerical simulation for the 3D seepage flow with fractional derivatives in porous media
- Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
- Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Fractional diffusion: probability distributions and random walk models
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Maximum norm error estimates of ADI methods for a two-dimensional fractional subdiffusion equation
