A fast numerical scheme for a variably distributed-order time-fractional diffusion equation and its analysis
Authors:
- Jinhong JiaJJJinhong Jia
- Hong WangHWHong Wang
- Xiangcheng ZhengXZXiangcheng Zheng
- 12 January 2022
- journal article
- research article
- Published by Elsevier in Computers & Mathematics with Applications
- Vol. 108, 24-32
Abstract
No abstract availableKeywords
Funding Information
- National Natural Science Foundation of China (11971272)
- National Natural Science Foundation of China (12001337)
- China Postdoctoral Science Foundation (2021M700244)
- China Postdoctoral Science Foundation (2021TQ0017)
- Natural Science Foundation of Shandong Province (ZR2019BA026)
- Army Research Office (W911NF-15-1-0562)
- National Science Foundation (DMS-2012291)
This publication has 38 references indexed in Scilit:
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domainsJournal of Computational Physics, 2015
- Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub‐diffusion equationsNumerical Linear Algebra with Applications, 2015
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential EquationsSIAM Journal on Scientific Computing, 2015
- Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion EquationsCommunications in Computational Physics, 2015
- High Order Algorithms for the Fractional Substantial Diffusion Equation with Truncated Lévy FlightsSIAM Journal on Scientific Computing, 2015
- Linking aquifer spatial properties and non-Fickian transport in mobile–immobile like alluvial settingsJournal of Hydrology, 2014
- Local Discontinuous Galerkin methods for fractional diffusion equationsESAIM: Mathematical Modelling and Numerical Analysis, 2013
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problemsJournal of Mathematical Analysis and Applications, 2011
- Fractal mobile/immobile solute transportWater Resources Research, 2003
- Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equationsPhysical Review E, 2002