TY - JOUR
T1 - A Support Vector Machine Method for Two Time-Scale Variable-Order Time-Fractional Diffusion Equations
AU - Yang , Zhiwei
AU - Liu , Huan
AU - Guo , Xu
AU - Wang , Hong
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 145
EP - 162
PY - 2021
DA - 2021/10
SN - 12
DO - http://doi.org/10.4208/eajam.310121.120821
UR - https://global-sci.org/intro/article_detail/eajam/19925.html
KW - Least-square support vector machine, variable-order, time-fractional diffusion equation, irregular domain.
AB - <p style="text-align: justify;">An efficient least-square support vector machine (LS-SVM) method for a two
time-scale variable-order time-fractional diffusion equation is developed. The method is
particularly suitable for problems defined on complex physical domains or in high spatial
dimensions. The problem is discretised by the L1 scheme and the Euler method. The
temporal semi-discrete problem obtained is reformulated as a minimisation problem.
The Karush-Kuhn-Tucker optimality condition is used to determine the minimiser of the
optimisation problem and, hence, the solution sought. Numerical experiments show the
efficiency and high accuracy of the method.</p>