Numerical solution of fractional diffusion-reaction problems based on BURA
From MaRDI portal
Publication:2192558
DOI10.1016/j.camwa.2019.07.002zbMath1452.65060OpenAlexW2963100911MaRDI QIDQ2192558
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.07.002
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11)
Related Items
Numerical solution of non-stationary problems with a rational approximation for fractional powers of the operator ⋮ Factorized schemes for first and second order evolution equations with fractional powers of operators ⋮ A survey on numerical methods for spectral space-fractional diffusion problems ⋮ Neumann fractional diffusion problems: BURA solution methods and algorithms ⋮ A Quadrature Scheme for Steady-State Diffusion Equations Involving Fractional Power of Regularly Accretive Operator ⋮ Rational approximation preconditioners for multiphysics problems ⋮ Exponent Splitting Schemes for Evolution Equations with Fractional Powers of Operators ⋮ Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerically solving an equation for fractional powers of elliptic operators
- Fractional powers of dissipative operators
- Some numerical results on best uniform rational approximation of \(x^ \alpha\) on [0,1]
- Numerical solution of time-dependent problems with fractional power elliptic operator
- Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).]
- Identification of the right-hand side of an equation with a fractional power of an elliptic operator
- Rational Approximation to the Fractional Laplacian Operator in Reaction-Diffusion Problems
- A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
- Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
- Optimal solvers for linear systems with fractional powers of sparse SPD matrices
- Numerical approximation of fractional powers of regularly accretive operators
- Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices
- Numerical approximation of fractional powers of elliptic operators
- Galerkin Finite Element Methods for Parabolic Problems
- Multilevel methods for nonuniformly elliptic operators and fractional diffusion
