Maximum norm error analysis of difference schemes for fractional diffusion equations

DOI10.1016/j.amc.2014.12.151zbMath1339.65136OpenAlexW2042491058MaRDI QIDQ299623

Jincheng Ren, Zhi-zhong Sun

Publication date: 22 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.151

zbMATH Keywords

fractional diffusion equationsRiesz fractional derivativefractional centered differencemaximum norm error estimate

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

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Cites Work

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• Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
• Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
• Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
• Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
• Riesz potential operators and inverses via fractional centred derivatives
• Finite difference approximations for a fractional advection diffusion problem
• Numerical solution of the space fractional Fokker-Planck equation.
• Chaos, fractional kinetics, and anomalous transport
• Waiting-times and returns in high-frequency financial data: An empirical study
• Finite difference approximations for fractional advection-dispersion flow equations
• Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions
• Numerical methods for solving the multi-term time-fractional wave-diffusion equation
• A Fourier method for the fractional diffusion equation describing sub-diffusion
• A second-order accurate numerical approximation for the fractional diffusion equation
• A fully discrete difference scheme for a diffusion-wave system
• A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
• Finite difference approximations for two-sided space-fractional partial differential equations
• Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
• A class of second order difference approximations for solving space fractional diffusion equations

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