A novel high-order explicit exponential integrator scheme for the space-time fractional Bloch-Torrey equation
From MaRDI portal
Publication:6636490
DOI10.1007/s40314-024-02973-3MaRDI QIDQ6636490
Publication date: 12 November 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
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)
Cites Work
- Solving the time-fractional Schrödinger equation by Krylov projection methods
- Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- On accurate product integration rules for linear fractional differential equations
- Generalized exponential time differencing methods for fractional order problems
- Numerical approximations for fractional diffusion equations via splines
- Some high order difference schemes for the space and time fractional Bloch-Torrey equations
- Implicit difference approximation for the time fractional diffusion equation
- Computing the matrix Mittag-Leffler function with applications to fractional calculus
- On the time-fractional Schrödinger equation: theoretical analysis and numerical solution by matrix Mittag-Leffler functions
- A high-order difference scheme for the space and time fractional Bloch-Torrey equation
- Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation
- Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology
- Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux
- A fully discrete difference scheme for a diffusion-wave system
- Stability and convergence of an implicit numerical method for the space and time fractional Bloch–Torrey equation
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
This page was built for publication: A novel high-order explicit exponential integrator scheme for the space-time fractional Bloch-Torrey equation