@article{2309cb3e7ccb4078be48a5bc50acb82a,
title = "The Maximum Principle for Time-Fractional Diffusion Equations and Its Application",
abstract = "Using an equivalent reformulation of the definition of the Caputo fractional derivative, we present the stability and convergence analysis for a finite difference scheme that we use to solve a time-fractional diffusion equation. The analysis is based on a maximum principle for such equations.",
keywords = "Finite difference schemes, Fractional Caputo derivative, Maximum principle, Regularity of solutions, Time-fractional diffusion equation",
author = "Hermann Brunner and Houde Han and Dongsheng Yin",
note = "Funding Information: This research was supported by the Hong Kong Research Grants Council (RGC Grant No. HKBU 200210) and the Natural Sciences and Engineering Research Council of Canada (Discovery Grant No. 9406). H. Han was supported by National Science Foundation of China (Grant No. 11371218 and No. 91330203). D. Yin was supported by National Science Foundation of China (Grant No. 10901091 and No. 60873252) and The Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions.",
year = "2015",
month = oct,
day = "3",
doi = "10.1080/01630563.2015.1065887",
language = "English",
volume = "36",
pages = "1307--1321",
journal = "Numerical Functional Analysis and Optimization",
issn = "0163-0563",
publisher = "Taylor and Francis Ltd.",
number = "10",
}