@Article{cmes.2020.07822,
AUTHOR = {Yanlong Zhang, Baoli Yin, Yue Cao, Yang Liu , *, Hong Li},
TITLE = {A Numerical Algorithm Based on Quadratic Finite Element for Two-Dimensional Nonlinear Time Fractional Thermal Diffusion Model},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {122},
YEAR = {2020},
NUMBER = {3},
PAGES = {1081--1098},
URL = {http://www.techscience.com/CMES/v122n3/38393},
ISSN = {1526-1506},
ABSTRACT = { In this article, a high-order scheme, which is formulated by combining the
quadratic finite element method in space with a second-order time discrete scheme, is
developed for looking for the numerical solution of a two-dimensional nonlinear time
fractional thermal diffusion model. The time Caputo fractional derivative is approximated
by using the L2 -1 σ formula, the first-order derivative and nonlinear term are discretized
by some second-order approximation formulas, and the quadratic finite element is used to
approximate the spatial direction. The error accuracy O(h 3 + ∆t 2 ) is obtained, which is
verified by the numerical results.},
DOI = {10.32604/cmes.2020.07822}
}