A Support Vector Machine Method for Two Time-Scale Variable-Order Time-Fractional Diffusion Equations
Year: 2022
Author: Zhiwei Yang, Huan Liu, Xu Guo, Hong Wang
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 145–162
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.310121.120821
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 145–162
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Least-square support vector machine variable-order time-fractional diffusion equation irregular domain.
Author Details
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https://doi.org/10.1016/j.matcom.2023.10.016 [Citations: 1]