A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations
DOI10.1016/j.apm.2014.02.005zbMath1429.65215OpenAlexW1963527980MaRDI QIDQ1629849
Publication date: 12 December 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2014.02.005
Lanczos methodpreconditionerKrylov subspacefractional Laplacianmatrix functionmatrix transfer technique
Iterative numerical methods for linear systems (65F10) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (41)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation
- Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners
- An implicit RBF meshless approach for time fractional diffusion equations
- Fractional calculus for scientists and engineers.
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A
- On the stability of implicit-explicit linear multistep methods
- Numerical solution of the space fractional Fokker-Planck equation.
- Finite difference approximations for fractional advection-dispersion flow equations
- Restarted GMRES preconditioned by deflation
- Stability and convergence of a finite volume method for the space fractional advection-dispersion equation
- Finite difference approximations for two-sided space-fractional partial differential equations
- AN ADVANCED MESHLESS METHOD FOR TIME FRACTIONAL DIFFUSION EQUATION
- Numerical Methods for Large Eigenvalue Problems
- Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- New Trends in Nanotechnology and Fractional Calculus Applications
- Adaptively Preconditioned GMRES Algorithms
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions
- Variational formulation for the stationary fractional advection dispersion equation
This page was built for publication: A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations