Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
Published 2012 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
Authors
Keywords
Multidimensional fractional differential equation, Compact scheme, Finite difference, Alternating direction implicit, Stability, Convergence, 65M06, 65M12, 65M15
Journal
NUMERICAL ALGORITHMS
Volume 62, Issue 3, Pages 383-409
Publisher
Springer Nature
Online
2012-05-24
DOI
10.1007/s11075-012-9589-3
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
- (2011) Ya-nan Zhang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- An O(N log2N) alternating-direction finite difference method for two-dimensional fractional diffusion equations
- (2011) Hong Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Numerical approaches to fractional calculus and fractional ordinary differential equation
- (2011) Changpin Li et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
- (2011) Mingrong Cui JOURNAL OF COMPUTATIONAL PHYSICS
- Numerical simulations of 2D fractional subdiffusion problems
- (2010) Hermann Brunner et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A direct O(Nlog2N) finite difference method for fractional diffusion equations
- (2010) Hong Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A compact finite difference scheme for the fractional sub-diffusion equations
- (2010) Guang-hua Gao et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Numerical approximations and solution techniques for the space-time Riesz–Caputo fractional advection-diffusion equation
- (2010) Shujun Shen et al. NUMERICAL ALGORITHMS
- Matrix approach to discrete fractional calculus II: Partial fractional differential equations
- (2009) Igor Podlubny et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Compact finite difference method for the fractional diffusion equation
- (2009) Mingrong Cui JOURNAL OF COMPUTATIONAL PHYSICS
- Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
- (2009) Chang-Ming Chen et al. NUMERICAL ALGORITHMS
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- (2009) Xianjuan Li et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- (2009) P. Zhuang et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- (2008) Hong-Lin Liao et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- Finite difference approximations for the fractional Fokker–Planck equation
- (2007) S. Chen et al. APPLIED MATHEMATICAL MODELLING
Add your recorded webinar
Do you already have a recorded webinar? Grow your audience and get more views by easily listing your recording on Peeref.
Upload NowCreate your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create Now