Notes on `Implicit finite difference approximation for time fractional diffusion equations [Comput. Math. Appl. 56 (2008) 1138-1145]

DOI10.1016/j.camwa.2011.02.051zbMath1221.65217OpenAlexW2072279553MaRDI QIDQ639125

Yu-Xin Zhang, Heng-Fei Ding

Publication date: 18 September 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.051

zbMATH Keywords

unconditional stabilityimplicit methodfinite difference approximationfractional differentiationtime fractional diffusion

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

Parametric study of fractional bioheat equation in skin tissue with sinusoidal heat flux, A modified memory-based mathematical model describing fluid flow in porous media, Numerical study on thermal therapy of triple layer skin tissue using fractional bioheat model, Solution of the fractional Black-Scholes option pricing model by finite difference method, The Maximum Principle for Time-Fractional Diffusion Equations and Its Application, CDS pricing with fractional Hawkes processes

Cites Work

• Unnamed Item
• Unnamed Item
• Implicit finite difference approximation for time fractional diffusion equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Finite difference approximations for fractional advection-dispersion flow equations
• Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation