A note on numerical algorithm for the time-Caputo and space-Riesz fractional diffusion equation
DOI10.1007/S42967-021-00139-0zbMath1499.65436OpenAlexW3198729663MaRDI QIDQ2077768
Publication date: 22 February 2022
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42967-021-00139-0
Fractional derivatives and integrals (26A33) 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)
Cites Work
- Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- High-order numerical algorithms for Riesz derivatives via constructing new generating functions
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains
- Numerical algorithm for the time-Caputo and space-Riesz fractional diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
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