Difference numerical solutions for time-space fractional advection diffusion equation

DOI10.1186/s13661-019-1120-5OpenAlexW2918234622MaRDI QIDQ2108210

Xiaoyang Gao, Fangfang Zhang, Zhaokun Xie

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1120-5

zbMATH Keywords

stabilityconvergenceexplicit difference schemeimplicit difference schemetime-space fractional derivativefractional convection-diffusion equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)

Related Items

Hybridizable discontinuous Galerkin methods for space-time fractional advection-dispersion equations, Parameter and differentiation order estimation for a two dimensional fractional partial differential equation, An efficient alternating segment parallel difference method for the time fractional telegraph equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new fractional Jacobi elliptic equation method for solving fractional partial differential equations
• Analytical solutions for a time-fractional axisymmetric diffusion-wave equation with a source term
• Solutions to time-fractional diffusion-wave equation in cylindrical coordinates
• Spectral analysis and structure preserving preconditioners for fractional diffusion equations
• A numerical method for solving of the boundary value problems for ordinary differential equations
• Fractal Burgers equations
• The effect of a dipolar structure on the Hölder stability in Green-Naghdi thermoelasticity
• A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations
• A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection-diffusion equation
• Stabilization of discrete time stochastic system with input delay and control dependent noise
• Eventual practical stability of impulsive differential equations with time delay in terms of two measurements
• Growing fractal interfaces in the presence of self-similar hopping surface diffusion
• A fractional diffusion equation to describe Lévy flights
• Numerical solution of fractional advection-diffusion equation with a nonlinear source term
• Finite difference approximations for two-sided space-fractional partial differential equations